Combinations Permutation

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 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

A group of 20 people are going to run a race. How many ways can the top 9 finishers advance to the finals?

• 83980

• 819782656

• 167960

• 335920

What would plug into your calculator for the following scenario: There are 10 people running for treasurer and vice-president. How many different arrangements could you have?

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36

• 2176782336

• 60

• 1402410240

Calculate ₈P₂

Mathematical Equivalence

OFF

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination

• permutation

• neither

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462

• 55440

• 55

• 1000

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220

• 36

• 1320

• 100