Permutations and Combinations Probability

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

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

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650

• 303,600

• 100

• 254

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

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

Calculate ₈P₂

Mathematical Equivalence

OFF

How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?

• 24

• 56

• 128

• 336

₁₂C₃

• 0

• 1

• 220

• 1140

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