The Hazelwood city council consists of five men and four women. How many different subcommittees can be formed that consist of three men and two women?

Approach Follow the flowchart in Figure 17.

Transcribed Image Text:

Figure 17 Are you making a sequence of choices? Yes Use the Multiplication Rule of Counting (p.q.r....) Are the number of choices at each stage Use tree diagram independent of previous choices? No Yes No Does the order of arrangements matter? n! Only r nPr (n-r)! Are you selecting all n objects, or only r objects? Yes No n! nCr= r!(n-r)! n! Yes All n Are the objects all distinct? No n! n! n!...nk!