Probability Combinations

₁₅C₂

• 15

• 105

• 455

• 1365

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

Which is greater, ₈C₃ or ₈C₅?

• ₈C₃ = ₈C₅

• ₈C₃ > ₈C₅

• ₈C₃ < ₈C₅

Permutation or Combination?

There are eight seniors on the football team that are being considered as team captains.

If there will be 3 team captains, how many different ways can 3 of these seniors be

chosen as captains?

• Permutation

• Combination

Ten students in your math class are presenting unique proofs to their classmates.  The order in which the proofs are chosen to be presented is random.   Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second.  

• 1/10

• 1/10!

• 4/5

• 1/90

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 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

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

• Permutation

• Combination