Permutation / Combination

Practice Questions

ACT Math › Permutation / Combination

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1

Restaurant

The menu above is from Lena’s Italian Kitchen. If you are going there for dinner, how many different combinations of a meal and a salad are there?

2

Restaurant

The menu above is from Lena’s Italian Kitchen. If you are going there for dinner, how many different combinations of a meal and a salad are there?

3

How many different ways can five books be lined up on a shelf?

4

How many different ways can five books be lined up on a shelf?

5

Sally is putting on jewelry and has decided to wear one necklace, one pair of earrings, and one ring. Her jewelry collection is listed below. How many different combinations of jewelry can she wear?

NecklaceEarringsRing
shortstudsgold
longhoopssilver
dangling
6

Sally is putting on jewelry and has decided to wear one necklace, one pair of earrings, and one ring. Her jewelry collection is listed below. How many different combinations of jewelry can she wear?

NecklaceEarringsRing
shortstudsgold
longhoopssilver
dangling
7

You work as a health inspector and must visit each of the 15 restaurants in town once each week. In how many different orders can you make these inspections?

8

You work as a health inspector and must visit each of the 15 restaurants in town once each week. In how many different orders can you make these inspections?

9

At a party with 9 guests, every guest shakes every other guest’s hand exactly once. How many handshakes are exchanged during the party?

When two people shake hands with each other, that counts as one handshake.

10

At a party with 9 guests, every guest shakes every other guest’s hand exactly once. How many handshakes are exchanged during the party?

When two people shake hands with each other, that counts as one handshake.

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