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Back to Exercise: Permutations

Exercises: Permutations

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Grade 10·19 problems·~26 min·ACT Math·topic·act-sp-counting-perm
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A

Recall / Warm-Up

These problems review prerequisite skills.

1

A student has 4 shirts and 3 pairs of pants. Using the fundamental counting principle, how many different outfits can the student make?

A.

7

B.

12

C.

24

D.

4

2

A café offers 3 soups, 4 sandwiches, and 2 drinks. A lunch special is one soup, one sandwich, and one drink. How many different lunch specials are possible?

3

A club with 5 members will choose a president and a vice president, and one member cannot hold both offices. Using the fundamental counting principle, how many ways can the two offices be filled?

A.

9

B.

25

C.

20

D.

120

B

Fluency Practice

Use the permutation formula or factorial simplification to compute each value.

1

Evaluate 7!5!\frac{7!}{5!}.

2

What is P(6,2)P(6, 2)?

A.

15

B.

720

C.

36

D.

30

3

Compute P(9,3)P(9, 3).

4

Compute P(5,5)P(5, 5).

5

What is the value of 0!+3!0! + 3!?

A.

6

B.

4

C.

7

D.

1

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