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Permutations and Combinations

Authored by Sir Janlee Math

Mathematics

10th Grade

Permutations and Combinations
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for permutations of n objects taken r at a time?

n! / (n-r)!

n! / (n-r)

n! / r!

n! * r!

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate P(5, 2)

20

25

15

10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In how many ways can you arrange the letters in the word 'MATH'?

12

24

6

18

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for combinations of n objects taken r at a time?

C(n, r) = n! / r!

C(n, r) = n! / r

C(n, r) = n! / (r! * (n - r)!)

C(n, r) = n! * r!

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate C(6, 3)

25

20

10

15

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In how many ways can you choose 2 books from a shelf of 5 books?

7

15

3

10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Explain a real-life scenario where permutations are used.

Applying permutations to calculate the number of possible outcomes in a dice game

Utilizing permutations to design a seating arrangement for an event

Using permutations to determine the best route for a delivery truck

A real-life scenario where permutations are used is calculating the total number of possible combinations for a lock with a 4-digit code.

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