Permutations and Combinations

Permutation or Combination: The student body of 30 students wants to elect a president, vice president, secretary, and treasurer.

• permutation

• combination

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• permutation

• combination

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

• permutation

• combination

Find the number of possibilities:

The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.

• 2479595

• 2140140

• 2193360

• 4386720

Find the number of possibilities:

The batting order for ten players on a 12 person team.

• 239,018,325

• 239,500,800

• 238,985,815

• 66

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

• 70

• 10,000,000

• 604,800

• 120

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

• 16

• 8

• 64

• 512