Suppose the group of twelve consists of five men and seven women, and five-personteam is to be formed from the group to work on a special project. (a) How many five-person teams can be formed from the group? (b) How many five-person teams can be formed in which the five persons will playthe five different roles? (c) How many five-person teams can be formed that consist of three men and twowomen?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Suppose the group of twelve consists of five men and seven women, and five-personteam is to be formed from the group to work on a special project.

(a) How many five-person teams can be formed from the group?

(b) How many five-person teams can be formed in which the five persons will playthe five different roles?

(c) How many five-person teams can be formed that consist of three men and twowomen?

(d) How many five-person teams can be formed that consist at least oneman?

(e) How many five-person teams can be formed that consist at most one man?

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