Mathematics High School

A combination lock has 7 digits. How many distinct combinations does this lock have if the numbers used have to be 0 through 5

Answers

Answer 1

Answer:

279,936

Step-by-step explanation:

Since there are 6 options for every digit, and seven digits

So,

6^7=279,936

Answer 2

The total number of  distinct combinations for making 7 digits lock is 2,79,936.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

Formula for permutation with repetition:

[tex]nP_{r} =n^{r}[/tex]

Where,

P is the total number of combinations.

n is the total number of items in a set

r is the total number of items to be selected from the set

According to the given question.

We have to form a lock that has 7 digits by using numbers from 0 to 5.

⇒ Total numbers of items in a set = 6

and total number of items to be selected = 7

Since, we have to form a lock of 7digits but we have only 6 digits. So we have to repeat this numbers so that we can form a 7 digit lock.

Therefore, the total number of combinations for making 7 digits lock is given by

[tex]6P_{7} = 6^{7}[/tex]

⇒[tex]6^{7}=2,79,936[/tex]

Hence, the total number of  distinct combinations for making 7 digits lock is 2,79,936.

Find out more information about combination and permutation here:

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Related Questions

can someone explain this to me? PLEASE HELP FAST!!

Answers

Answer:

49.298

Step-by-step explanation:

Radio × π²

5×3.14²

5×9.8596

49.298

1
2
Determine the values of n for which f(x) = x* has an inverse that is a function. Assume that n is a whole numbe

Answers

I’m answering hold on brb sort
I’ll help just give me a second

can someone help me with number 10

Answers

Answer:

=its 29+29+45

Step-by-step explanation:

hope dis helps

What is x?
4x(2x+6)=8x²(23-5)

pls, help for the first person to answer I will give them a brainlist.

Answers

Answer:

x= 3/17

Step-by-step explanation:

4x(2x+6) =8x^2(23-5)

8x^2 +24x = 144 x^2

24x = 136 x^2

24= 136 x

x=24/136

x=3/17

One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour​

Answers

Answer:

7.45cm

Step-by-step explanation:

178.8 ÷ 24 hours = 7.45 centimetres per hour.

Number 10 hello meeeeee plz

Answers

Answer:

1,000

Step-by-step explanation:

10^3 = 10*10*10= 1,000

what is the simplest form of 18:20​

Answers

9:10

That's nine to ten

-Northstar

One airplane located 200km north and 50km east of an airport. A second plane at the same altitude is located 30km north and 100km west. The distance between the planes is closet to:​

Answers

Answer: 350

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

y=-11x+5. help what is the slope

Answers

Answer:

this is the slope:

Step-by-step explanation:

m=-11

A guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, at what price should they sell each guitar?

Answers

step by step explanation:

75x + 50000 = 150x

50000 = 75x

x = 50000/75 = 666.67



answer:

666.7 || rounded to the nearest greatest cent

The price of each guitar would be; 666.7 rounded to the nearest greatest cent.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, then;

C(x)=75x+50000

75x + 50000 = 150x

C(x)= 50000 = 75x

x = 50000/75

x = 666.67

Therefore, The price of the each guitar would be; 666.7 rounded to the nearest greatest cent.

Learn more about the unitary method, please visit the link given below;

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Select the correct answer.
What is the domain of the function shown in the graph?

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Answer:

negative infinity < x < positive infinity

Step-by-step explanation:

Person above is correct

the diagram shows a circle inside a square. work out the area of the circle

Answers

Answer:

i don't know the answer as you haven't given the diagram

Step-by-step explanation:

asumming the circle is touching the square the length of the sides of the square is the diameter of the circle using this information you use the formula area= pie*radius squared find the area.

(radius=half the diameter0

Find the area of a window that measures 3 yards by 3/4 yard

Answers

Answer:

3 x 3/4= 6/4 or 3/2 or 1.5 square yards

Step-by-step explanation:

a number, X, rounded to 1 significant figure is 40. Write the error interval for x

Answers

Answer:

40

Step-by-step explanation:

*
1. Which terms can be combined in the following expression? *
4x² - 5y + 6x + 4y - 7
0 4x² and 6x
O-Sy and 4y
O 4y and - 7
-5y and 6x

Answers

Answer:

-5y and 4y

Step-by-step explanation:

this is because both of them have the same degree of variables, regardless of the signs of their coefficients, you can combine terms that follow the stated points above.

The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number. 100 points brainliest.

Answers

Answer:

welp

Step-by-step explanation:

Answer: 361

Step-by-step explanation:

Please help I will give brainiest

Answers

Answer:

35

Step-by-step explanation:

55 + x = 90

x = 90 - 55

x = 35

A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute

Answers

Answer:

15 times per minute

Step-by-step explanation:

just divide 30 by 2

It park 15 time per min.

HELP MARKING BRAINLIEST

Answers

Answer:

Give me brainliest

Step-by-step explanation:

Is 12r - 5 the same as -5 + 12r

I'm so tried plz help-

Answers

Answer:

Yes there are same because

Let r=1

then

12r-5 = ( 12*1)-5 = 12 -5 = 7

but

-5 + 12r = -5 + (12*1) = -5 + 12 =7

8 oranges cost $.78. How much will he spend to buy 40 oranges

Answers

Answer:

$3.90

Step-by-step explanation:

To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.

I need help immediately pls !!

Answers

Answer:

y=3

Step-by-step explanation:

what is (5)(3)(6) what is the answer for this tbh i dont know

Answers

Answer:

5*3*6 = 15*6 = 90

Step-by-step explanation:

please help asap with legit answers

Answers

Answer:

D

Step-by-step explanation:

Just combine like-terms

20% of a number is 12.
what is the whole number?

Answers

60 would be the answer since 12•5=60 and 20•5=100

Answer:

60 that is the answer

Step-by-step explanation:

Please help me......

Answers

Answer:

He's moving 10 meters a second, and the slope is 1/1

Step-by-step explanation:

Which of the following is a pair of
vertical angles?
X
E
B
ОООО
D
В
C
D
A ZAXC and ZCXE
B. ZBXD and ZAXF
C. Z CXE and BXD
D. LAXF and BXE
SUBMIT

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

D. AXF and BXE

Step-by-step explanation:

These angles are across from each other which makes them vertical angles.

9
R and T are two mutually exclusive events.
P(R) = 0.2 and P(R or 1) = 0.69
Work out P(not T).

Answers

Answer:

P(not T ) =  0.51

Step-by-step explanation:

Step(i):-

Given that the R and T are two mutually exclusive events

P(R∩T) = 0

Addition theorem on probability

P(RUT) =P(R)+P(T) - P(R∩T)

P(RUT) =P(R)+P(T) - 0

P(RUT) =P(R)+P(T)

Step(ii):-

Given P(R) = 0.2 and P(RUT) = 0.69

P(RUT) =P(R)+P(T)

P(T) =  P(RUT) -P(R) = 0.69 -0.2

P(T) = 0.49

P(not T) = 1- P(T)

P(not T ) = 1 - 0.49 = 0.51

Final answer:-

P(not T ) =  0.51

What is 3 1/4 as a fraction

Answers

Answer:

13 / 4

Step-by-step explanation:

Can you help me I dont understand ​

Answers

What don’t you understand?
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