Permutations and Combinations

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# Permutations and Combinations - PowerPoint PPT Presentation

Permutations and Combinations. Nov. 27, 2007 Lucas Anderson. Fundamental Counting Principle. If the number of events is n, and the number of outcomes for each experiment is for , then the total number of outcomes for all events is . Permutations. Rearrangement of elements in a set.

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### Permutations and Combinations

Nov. 27, 2007

Lucas Anderson

Fundamental Counting Principle
• If the number of events is n, and the number of outcomes for each experiment is for , then the total number of outcomes for all events is
Permutations
• Rearrangement of elements in a set

(143)(2)

• The number of permutations of k objects of a set of n elements is
Question
• There are three seats left in a theatre and five people left to be seated. In how many different ways can they be seated?

A)60

B)10

C)20

D)120

There are three seats left in a theatre and five people left to be seated. In how many different ways can they be seated?

A)60

B)10

C)20

D)120

Combinations
• Number of ways of selecting k objects from a set of n
• Unordered objects
• Also called binomial coefficient
Question
• There are 20 seniors and 15 juniors. 3 juniors and 2 seniors are picked to form a committee. In how many ways can this be done?

A) 119,700

B)1,436,400

C)1,037,400

D) 86,450

There are 20 seniors and 15 juniors. 3 juniors and 2 seniors are picked to form a committee. In how many ways can this be done?

A) 119,700

B)1,436,400

C)1,037,400

D) 86,450