A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

A Hotel Reservation Number Consist Of 4 Digits, Followed By 1 Letters, Followed By 3 Digits. How Many

Answers

Answer 1

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

Answer 2

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

What is permutation and combination?

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

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Related Questions

One more dilation problem
Write the rule to describe each transformation??

Answers

Answer:

it is strech

Step-by-step explanation:

The dilation of triangle QRS is stretched by scale factor 1/2.5.

From the Figure,

The coordinates of S(-1, 0), R(-1, 1) and Q(2, 0)

and, the coordinates of S' (-2.5, 0), R'(-2.5, 2.5) and Q'(5, 0).

Now, the scale factor is

= side of QRS / side of Q'R'S'

As, side of QR = 3 unit and side of Q'R' = 7.5 unit.

So, the scale factor is

= 3 /7.5

= 1 / 2.5

Thus, the dilation is stretched by scale factor 1/2.5.

Learn more about Scale Factor here:

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· Carlos ran one lap in 1 minute 3 seconds. Orlando rana one lap 5 seconds faster than Carlos. How many seconds did it take Orlando to run one lap?​

Answers

Answer:

58 seconds.

Step-by-step explanation:

Since one minute equals 60 seconds, Carlos took 63 seconds.

Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.

The value of the function f(x) = 5x +7 at 3 is

Answers

Answer:

22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 5(3) + 7 = 15 + 7 = 22

need help with these questions

Answers

Step-by-step explanation:

these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.

the advantage of factorization is to see the 2 solutions for y=0 right away.

the general form is

y = (x + a)(x + b)

and the y=0 solutions are then simply x = -a and x = -b.

in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.

that makes the factorization :

y = (x - 1)(x - 5)

when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.

in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).

it is seemingly at x = -2.

since both solutions are equal, we have also two equal factors.

that makes the factorization

y = (x + 2)(x + 2) = (x + 2)²

plss do the working ​

Answers

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

What is the perimeter of the shape to the right?​

Answers

The perimeter of that is 22
the perimeter is 22, good luck

Number of Bars
1
Analyze A store sells variety packs
of granola bars. The table shows
the types of bars in each pack.
Mason says that for every 7 bars in
a pack, there is 1 cinnamon bar.
Do you agree? Explain.
Type
Cinnamon:1
Honey:4
Peanut Butter:3

Answers

Answer: Disagree. 1 in 8 bars are cinnamon.

Step-by-step explanation:

There are a total of 8 bars in the pack. Cinnamon is 1 of the 8. Therefore, for every 8 bars, one is cinnamon.

Mrs. Penn charges $10.00 an hour on top of a $5.00 flat fee for tutoring. Mrs. Smith charges $14.00 an hour with no flat fee. Write and solve an equation to find how many hours T takes for Mrs. Penn and Mrs. Smith to get paid the same amount.

Answers

Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x  

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

Pls someone help, and fast

Answers

It would be 22.4-16.1 which is 6.3 pounds!

Answer:

So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply

7x2.30

=$16.10

For Shop B you must  first divide

70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.

so, 7x1.60

=$11.20- then divide 1.60 by 2 = $0.80,

then multiply by 7

=$5.60, then add the the two numbers for Shop B,

$11.20 + $5.60= 16.80

Step-by-step explanation:

So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80

The difference from buying pens from Shop A and Shop B would be $0.70

A family pays $34.56 for souvenirs on vacation if the sales tax is 7.5% what is the total amount the family spent on souvenirs

Answers

Answer: $37.15

Step-by-step explanation:

$31.958

Step-by-step explanation:

I'm not sure guys if that's right answer

I want the answer for this question please

Answers

use brainly and scan it, you will get some recommendation

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Perimeter of given triangle is ~

[tex] \boxed{ \boxed{26 \: \: units}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The given triangle is an Isosceles triangle, with equal sides (4x + 2) and (7x - 4)

that is ~

[tex]4x + 2 = 7x - 4[/tex]

[tex]7x - 4x = 2 + 4[/tex]

[tex]3x = 6[/tex]

[tex]x = 6 \div 3[/tex]

[tex]x = 2[/tex]

Now, measure of its sides are ~

# 1 - 4x + 2 = (4 × 2) + 2 = 8 + 2 = 10 units

# 2 - 7x - 4 = (7 × 2) - 4 = 14 - 4 = 10 units

# 3 - 3x = (3 × 2) = 6 units

So, Perimeter = Sum of all three sides of the triangle ~

[tex]10 + 10 + 6[/tex]

[tex]26 \: \: units[/tex]

What is the relationship between ​2.57×104​ and ​2.57×10−1​ ?

​2.57×104​ is
Choose:
100
1000
10,000
100,000
1,000,000
times
Choose:
Greater or Less
than ​2.57×10−1​ .

Answers

Answer:

2.57×104= 267.28

2.57×10-1= 24.7

Answer:

2.57x10^4 is 100,000 Greater that 2.57x10^-1

Step-by-step explanation:

2.57x10^4 has a power by 4 which means

10^4 = 10,000

and 2.57x10^-1 has a power by -1 which means

10^-1 = 0,1

therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1

Can someone help me please

Answers

Answer:

40 students earned a B on this paper.

40%×80=32 people who chose action as their fav.

Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.

Answers

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

is this linear or not?

Answers

Answer:

Linear

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You have the system with two quadratic equations.

Both equations are of degree two.

This is therefore not linear.

Simplify.

5x+3(x+2)+3

A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8

Answers

Answer:

A- 8x+9

Step-by-step explanation:

Answer: A) 8x + 9

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Abdul has an original recipe for a drink with apple, orange and pineaplle juice.He makes new fruit drinks by making different quantities of the three juices. the table shows the amount of the juice in the recipe and in each juice

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?

Answers

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

The points in the table lie on a line. Find the slope of the line

Answers

Answer:

click the button and use it as and use it

the slope would be 4

Eliminate the x and y

Answers

Step-by-step explanation:

Eliminate the x:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]

Eliminate the y:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]

Beth had k dollars. She spent 8 dollars on a bag and the rest of the money on 4 notepads. Find the cost of each notepad in terms of k.

Answers

Answer:

Price of a notepad in terms of k ⇒ (k - 8)/4

Step-by-step explanation:

Let the price of a notepad be n.

8 + 4n = k

In order to get the answer, we've to make n as the subject of the above equation.

8 + 4n = k

4n = k - 8

n = (k - 8) / 4

Order the numbers –0.5, 1.25, 0.75, and –1.08 from least to greatest.

Answers

Answer:

Least to greatest

0.75 , 1.25 , -1. 08 , -0. 5

Step-by-step explanation:

Hope my answer helps you

subtract (6x^2+5) - (4x-3)

Answers

2(3x^2+4-2x) is ur answer i think

If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?

Answers

Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.

Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...

what is 1/2 + 1/12? Please and thank you

Answers

Answer:

7/12

Step-by-step explanation:

1/2 + 1/12?

To add fractions, find the LCD and then combine.

Exact Form:

7 /12

Decimal Form:

0.583

Answer:

18/12 or 3/2

Hope this helps!

6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.

Answers

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).

Answers

Answer:

i think its c in my opionion not sure tho

Answer:

D. 13/36

Step-by-step explanation:

What is a way that a lender could collect on a debt when the borrower defaults??

Answers

Answer:

If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.

Step-by-step explanation:

Answer:Wuts the answer

Step-by-step explanation:

Hello Good morning/evening/afternoon !
Pls Help ?!

Answers

Answer: y = 3/5x + 6

Step-by-step explanation: Slope intercept form is y = mx + b

We must convert your problem into this.

3x - 5y = -30

-5y = -30 - 3x

-5y = -3x - 30

y = (-3x - 30)/-5

y = 3/5x + 6

Would appreciate brainly <3

Evaluate ∫ y2dx + x dy along the following paths. (a) C = C1 is the line segment from (-13, -7) to (0, 6) (b) C = C2 is the arc of the parabola x = 36 - y2 from (-13, -7) to (0, 6).

Answers

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

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