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Choose a committee subject to a married-couple restriction

A committee of 3 people is to be chosen from 4 married couples. Find the number of ways in which this committee can be chosen if

(i) all are equally eligible,

(ii) the committee must consist of 1 woman and 2 men,

(iii) all are equally eligible except that any husband and wife cannot both serve in the committee.

CJC · Lecture · Example 9

Decide whether order matters and repetition is allowed; then count stages or disjoint cases.

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