Probability with Combinations

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 3 x 10¹²

• 120

• 3003

• 360,360

₁₂C₃

• 0

• 1

• 220

• 1140

A group of 40 people are going to run a race.  The top 6 finishers advance to the finals. How many different outcomes can happen?

• 2866425

• 1919190

• 3838380

• 2568929

4 out of 19 students will ride in a car instead of a van. How many different outcomes can happen?

• 7752

• 3876

• 15504

• 93024

The student body of 35 students wants to elect three representatives. How many different outcomes can happen?

• 6545

• 13090

• 39270

• 19635

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/9

• 1/10

• 1/9

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