Probability Combination Permutation

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4896

• 816

• 54

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342

• 1/342

• 171

• 1/171

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation

• Combination

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation

• Combination

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

Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip. How many ways can they make this decision?

• 70

• 45

• 280

• 260

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

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination

• permutation

• neither