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: Rob and Micaela are planning trips to four countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.

• 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

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

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 ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

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

• 60,480

• 10,000,000

• 604,800

• 100

₁₂P₄

• 24
• 132
• 1320
• 11880