Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?

Answers

Answer 1

5 3-digit numbers that have three equal digits.

we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.

any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.

There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.

Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.

Answer 2

60 number are 3-digit numbers that have two equal digits and one different digit.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.

The given digits are,

1, 2, 3, 4, 5.

Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,

Here order of arrangement matters.

Use permutation formula,

From 5 digits, 3 are chosen,

Ways of arrangement = ⁵P₃  

= 5! / (5-3)!

= 5! / 2!

= 5 x 4 x 3 x 2! / 2!

= 60

There are total 60 different ways, in which numbers can be arranged.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

#SPJ2


Related Questions

1. Solve five times two and one sixth.

a.seven and one sixth
b.seven and seven sixths
c.ten and one sixth
d.ten and five sixths

2. Solve seven times three and one fifth.

a.twenty two and one fifths
b.twenty two and two fifths
c.twenty two and three fifths
d.twenty two and four fifths

3. Solve two and one third times two and three fourths.

a.four and three twelfths
b.six and five twelfths
c.seven and five twelfths
d.eight and three twelfths

4.Solve three and one half times one and two thirds.

a.three and two sixths
b.four and two sixths
c.five and five sixths
d.six and five sixths

5.Solve six and two sixths times one and one half.

a.six and two twelfths
b.eight and six twelfths
c.nine and six twelfths
d.ten and two twelfths

6. Solve one and three fourths times two fourths.

a.fourteen sixteenths
b.fifteen sixteenths
c.seventeen sixteenths
d.eighteen sixteenths

7. Solve seven times four and five eighths.

a.twenty eight and three eighths
b.twenty eight and five eighths
c.thirty two and three eighths
d.thirty two and five eighths

8. Solve five and four tenths times two. (2 points)

a.ten and four twentieths
b.ten and eight twentieths
c.ten and four tenths
d.ten and eight tenths

9. Solve two and one third times four fifths. (2 points)

a.four sixths
b.twenty eight fifteenths
c.twenty seven fifteenths
d.twenty eight sixths

10. Solve five and two thirds times three fourths (2 points)

a.three and eleven twelfths
b.four and one twelfth
c.four and three twelfths
d.five and one twelfth

Answers

Please give brainliest! I put a lot of effort

Answer:

1. D) ten and five sixths

2. B) twenty two and two fifths

3. B) six and five twelfths

4. C) five and five sixths

5. C) nine and six twelfths

6. A) fourteen sixteenths

7. C) thrity two and three eighths

8. D) ten and eight tenths

9. B) twenty eight fifteenths

10. I'm pretty sure the answer is 4 1/4 but I don't see that answer choice

Step-by-step explanation:

1. 5 x 2 1/6 = 5/1 x 13/6 = 65/6 = 10 5/6

2. 7 x 3 1/5 = 7/1 x 16/5 = 112/5 = 22 2/5

3. 2 1/3 x 2 3/4 = 7/3 x 11/4 = 77/12 = 6 5/12

4. 3 1/2 x 1 2/3 = 7/2 x 5/3 = 35/6 = 5 5/6

5. 6 2/6 x 1 1/2 = 38/6 x 3/2 = 114/12 = 9 6/12

6. 1 3/4 x 2/4 = 7/4 x 2/4 = 14/16

7. 7 x 4 5/8 = 7/1 x 37/8 = 259/8 = 32 3/8

8. 5 4/10 x 2 = 54/10 x 2/1 = 108/10 = 10 8/10

9. 2 1/3 x 4/5 = 7/3 x 4/5 = 28/15

10. 5 2/3 x 3/4 = 17/3 x 3/4 = 51/12 = 4 1/4

1. d
2.b
3.b
4.c
5.?
6.a?
7.c
8.?
9.b
10.?

What is the area of a circle that has a radius of 10 in? Use 3.14 for π.

62.8 ft^2
31.4 ft^2
314 ft^2
1256 ft^2

Answers

Answer:

The answer is 314

Step-by-step explanation:

Have a nice day :)

Answer:

314 ft

Step-by-step explanation:

Animal control picked up 42 animals off the streets last month. • Dogs made up – of the animals. • Cats made up of animals. • Horses made up the remainder of the animals. How many animals picked up last month were horses? 6 horses 7 horses 13 horses 1 horse

Answers

Answer:

well i think it is 7

Step-by-step explanation:

PLEASEE HELPP

Kendall's dog will be having four puppies. Kendall performs a simulation by tossing a coin to model whether these puppies will be male or female.

- Let heads (H) = female puppy

- Let Tails (T) = male puppy

What is the estimated probability that at least two of the puppies will be female?

A. 5/10 = 50%
B. 3/10 = 30%
C. 8/10 = 80%
D. 7/10 = 70%

Answers

Answer:

A

Step-by-step explanation:

Answer: A. 5/10 = 50%

Explanation: There are 4 puppies and 2 sides of a coin so is you divide 4 and 2 it gives you the probability of 2 and 2 of 4 is half also described as 50% or 5/10.

Hope this helps!

What is the Interquartile Range (IQR)?
1,4,4,5,5,5,6,6,7,7,7,8,8,9,11

Answers

the answer should be 2 lol

Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100o. Write and solve an equation to find x, the measures of angle TQV.

Answers

Answer:

I'm not certain what the sum is, so I will teach you how to solve.

Step-by-step explanation:

As the question states, angle PQR and TQV are vertical angles, so they have to be the same measure. Just divide the sum by 2 and you get the answer.

If there were more context, I would totally edit my answer!

Good Luck!!!

PLEASE HELP ITS TIMED!!!!! PLEASE EXPLAIN THE ANSWER TOO!

Answers

D, 7-7 = 0
1-1 = 0
0 x 0 = 0

Help me please......

I don't understand this

Answers

Answer:

If you use the area formula it should be really simple.

Step-by-step explanation:

Have you been taught base x height?

Answer:

To find the area, you use a specific formula for the shape.

For the squares and rectangles, multiply the length by the width.

For a triangle do base times height divided by 2.

I would suggest asking your teacher for help with the formula.

Best of Luck :)


CAN SOMEONE HELP ME WITH THIS PLZ! <3

Answers

Answer:

D. A = πr^2

Step-by-step explanation:

The formula of the area of a circle is A = πr^2.

the answer is D because to calculate circles area you multiply pi by the radius multiplied by two

Compare the volume of these two shapes.

left object volume > right object volume
not enough information given
right object volume < left object volume
left object volume =right object volume

Answers

Answer:

left object volume = right object volume

it’s the forth option

Question 10
I need help

Answers

Answer:

its 8 trust me on this

Step-by-step explanation:

:)))))

Answer:

can u please friend me?

Step-by-step explanation:

30 POINTS!!!! PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! GOOD ANSWERS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the box plot you drew for the following data set, describe how the data is dispersed: 22, 35, 18, 30, 37, 20, 40, 18, 38, 38, 23, 19, 27, 31, 34.

Answers

Answer:

The data is negatively skewed.

Step-by-step explanation:

When the median line is closer to the right side of the box plot, the data is negatively skewed. Another way to know is if the mean is less than the median; it looks like the median on your box plot is 30, and I calculated the mean of the data set to be 28.7.

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit?

81.68
530.93
2123.72
8494.87

Answers

Answer:

The answer is 530.93

Step-by-step explanation:

Have a nice day :)

Answer:

530.93

Step-by-step explanation:

Florence paid for a booth at a pet show to sell her handmade pet collars. If s is her total sales and c is the cost of her materials, both in dollars, then s–c–20 is her profit, in dollars. Florence made $415 in sales at the pet show and the materials cost her $50.
What is Florence's total profit?

Answers

Answer:

365

Step-by-step explanation:

Answer:

465

Step-by-step explanation:

im not sure

PLZ ANSWER ASAP IN NEED OF ANSWERS WILL AWARD BRAINLIEST!!!

Answers

Answer:

△ABC is congruent to △YZX

Step-by-step explanation:

Mariana has p times as many photographs as Wyatt. Wyatt has 13 photographs. Write an expression that shows how many photographs Mariana has.

Answers

Answer:

13p

Step-by-step explanation:

13p means 13 times p, which is the expression for p times as Wyatt (13)!

The answer is 13p !!!!!!!!!!!!!!

What is the solution to the system?

A. (0,3)
B. (1,3)
C. (-3,1)
D. (1,-1(

Answers

Answer:

B. (1,3

Step-by-step explanation:

to know the system of equations all you have to look for is where the lines intersect.

B is the correct answer

Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:

Dam A

f(t) = 5t – 7t – 1

Dam B

g(t) = 3t 2 + 4t + 9

Which function represents the difference in the amounts of water released, h(t) = f(t) – g(t)?

h(t) = 3t 2 – 5t + 11t + 10
h(t) = 2t 2 – 11t – 10
h(t) = 5t – 3t 2 – 3t + 8
h(t) = 5t – 3t 2 – 11t – 10

Answers

Answer:

Step-by-step explanation:

Well g(t l

Answer:

D

Step-by-step explanation:

i think this is it. edge 6/24/21

At Outfield Sports Shop, Brandon is deciding which set of equipment to buy. He usually only plays with standard baseballs, but he wants to get some plastic baseballs to use when playing with his younger cousins. The store offers a starter set with 2 plastic balls and 5 standard balls, and a deluxe set with 4 plastic balls and 10 standard balls. Do the starter set and deluxe set have the same ratio of plastic baseballs to standard baseballs?

no links please

Answers

Answer:

Yes.

Step-by-step explanation: The Starter Set's ratio is 2:5 and the Deluxe set's ratio is 4:10. . You need to multiply the numerator and the denominator of the Starter Set by 2 and you will see that the ratio 2:5 is equivalent to ratio 4:10.

Samantha made a scale drawing of a car using a scale of 1 inch to 2.5feet her drawing of the car is 5inch long what is the length in feet of the car.... help asap please

Answers

It’s 12.5 feet

Because for every one inch there is 2.5 inches so you would multiply 5 time the 2.5

A temperature of F degrees Fahrenheit is 5/9(F–32) degrees Celsius. According to weather records, the highest temperature ever recorded on the continent of Africa was 131 degrees Fahrenheit, in the country of Tunisia.
What was the highest temperature in degrees Celsius?

Answers

Answer:

131°F is 55°C!

Step-by-step explanation:

subtract 32 from 131, then multiply by .5556 (5/9)

131 - 32 = 99

99 × 5/9 = 55

hope this helps!

PLEASE HELP ASAP!!
[tex]\frac{3}{4}[/tex] t = -9 what does t equal?

Answers

Answer:

t=-12

Step-by-step explanation:

3/4(t)=-9

divide by 3/4 on both sides, and when you divide by a fraction, you actually multiply the reciprocal of the fraction instead of trying to somehow divide.

Soooooo... the reciprocal of 3/4 is 4/3, right?

t= -9 * 4/3

t=-12

Note: Btw, if you didn't know you don't have to wait for an answer from brainly community lol, there are many good online calculators (example being https://www.symbolab.com/), that will show u a step by step solution to algebraic problems in an instant.

Just don't use it for cheating :P

Answer:

-12

Step-by-step explanation:

MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE INCLUDE AN EXPLINATION MEANING THE WORK SO I CAN UNDERSTAND

Answers

Answer:  I think that x is the number of friends invited so 25 times x has to be less then 135 but why is there a six? its not anywhere in question.

Step-by-step explanation:

Answer:

Its C. x being the amount of friends she can bring and since the tickets cost 6.00 its 6x plus the food and candy (25).

Step-by-step explanation:

How many 12-cup servings are in 94 cups of juice?

Answers

8 hope it helps just divide 12 from 94
jus divide 94 and 12 and u will get ur answer 8

ah im having a hard time with this someone answer plz no one is answering the question exept bots trying to scam me.an online retailer charges $5.99 plus 0.65 per pound to ship to electronics purchases.How many pounds is a ... for which the shipping charge is $22.89. ive been having a bit of trouble finding this out,much appretiation if you solve this.Thanks!

Answers

Answer:

26 pounds

Step-by-step explanation:

let x be the number of pounds.

then

5.99+0.65x=22.89

0.65 x=22.89-5.99=16.90

[tex]x=\frac{16.90}{0.65}=\frac{1690}{65}=26\\[/tex]

!Help Help Help! lols

Answers

Answer: 44 17/20

This is super easy

Let me explain it in an understanding matter

To find average we need to add the 2 numbers then divide by the amount of numbers there is which is 2.

So the first step is to add 2 3/5 and 87 1/10

The answer to that is 89 7/10

Lastly we need to divide 89 7/10 by 2

The answer to that is 44 17/20

So your answer should be 44 17/20

(I know that's not an answer choice, But that's how i see this question)

A temperature of F degrees Fahrenheit is the same as 5/9
(F–32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit.
What is the record high temperature in degrees Celsius?
Write your answer as a whole number or decimal.
degrees Celsius

Answers

Answer:

113 degrees Fahrenheit is 45 degrees Celsius

Step-by-step explanation:

Hope this helps

Analyze this student's work. What did the student do correctly? What did he do incorrectly?

Answers

I don’t think he did distributive property

Best Buy was having a sale on bluetooth speakers. They offered a 40% discount on a JBL speaker
that was originally priced at $450. After the sale, the discounted price of the speaker was increased by
40%. What is the new price of the speaker after this increase?

Answers

The answer is 450 because they are just going back to the original price after the sale

the answer is C............................

The diameter of a dime is 17.9 millimeters. What is the area of one side of the coin? Show your work

Answers

Answer: I think 612 millimeters

Answer:

251.65 Millimeters rounded to the hundredths place.

Step-by-step explanation:

The formula for the area of a circle is A=π×r^2.

Step 1: Find r, or the radius, which is half the diameter. In this case, it is 8.95.

Step 2: Square the radius that you get. In this case, the answer is 80.1025.

Step 3: Multiply the past number by π on your calculator. Some teachers allow 3.14 but be certain that your teacher allows it. In this case, π×80.1025=251.649425534

Step 4: You've got your answer! Hope this helps!

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