Probability Permutation Combination

Picking a team of 3 people from a group of 10.

• Combination

• Permutation

Picking a President, VP and Waterboy from a group of 10

• Combination

• Permutation

Picking a President, VP and Waterboy from a group of 10.

• 120

• 720

• 1000

• 2000

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 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

Calculate the following:

₁₂P₅

Mathematical Equivalence

ON

Choosing 3 desserts from a menu of 10.

• Combination

• Permutation

Let’s say we have 8 people:

1: Alice
2: Bob
3: Charlie
4: David
5: Eve
6: Frank
7: George
8: Horatio

How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

• 56

• 336

• 3/8

• 1/512

A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if there is no restriction?

• 462

• 5/11

• 11/5

• 55440