Permutations and Combinations with Probability

Eight racers are running and Tom wants to know his probability to earn a medal (Gold, Silver or Bronze).

• ⅓

• ⅗

• ⅜

• ⅝

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 362,880

• 6

The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

• 720

• 120

• 10!

• 6

Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being the same suit?

• 715

• 6,497,400

• 68,640

• 2,860

How many 4-card hands that contain 3 hearts and 1 spade can be chosen from a 52-card deck?

• 3700

• 3709

• 3718

• 7436

When does the order in which you are choose matter?

• Combination

• Permutation

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

• combination

• permutation

• neither

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462

• 55440

• 55

• 1000