Alice Bob Celia Don Alice Celia Don Celia

Alice Bob Celia Don Alice Celia Don Celia Alice Bob Don Alice Bob Celia are members of a club. In how many ways can they select a president and vice president ? 4 x 3 = 12

Alice Bob Celia Don Alice Celia Don are members of a club. In how many ways can they select a 2 person committee? 1. ) 2. ) 3. ) Celia Alice Bob Don Alice Bob Celia 5. ) 4. ) 6. )

Alice Bob Celia are running for pres. , vice pres. , and secretary Bob Celia Alice Bob Alice Bob Celia There are 6 different ways of arranging 3 people in order. The number of possible outcomes = 3 x 2 x 1 = 6

Alice Bob Celia Don Edna are members of a club. In how many ways can they select a pres. , vice pres. , and secretary? There are 5 ways to select a pres. For each of the 5 ways to select a pres. , there are 4 ways to select a vice pres. 5 x 4 x 3 = 60 For each of the 20 ways to select pres. and vice pres. , there are 3 ways to select a secretary.

In how many ways can they select a 3 person committee? Alice Bob Celia Don Edna There are 60 branches on this tree 60 ways to select 3 people in order But each 3 person committee is repeated 6 times on this list of 60.

In how many ways can they select a 3 person committee? Alice Bob Celia Don Edna This one committee appears 6 times

In how many ways can they select a 3 person committee? Alice Bob Celia Don Edna And this committee appears 6 times

Alice Bob Celia Don Edna are members of a club. The number of ways of selecting a pres. , vice pres. , and secretary = 5 x 4 x 3 the number of repetitions of each 3 person committee = 3 x 2 x 1 The number of 3 person committees = 5 x 4 x 3 = 10 3 x 2 x 1