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?

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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?

(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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Step 2: Finding number of five-person teams can be formed from the group

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Step 4: Finding the number of five-person teams can be formed that consist of three men and two women

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