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A hint to get started

Count restricted committees using cases and complements

A class consists of 8 girls and 10 boys. How many committees of 4 can be formed if

(i) there are no restrictions,

(ii) the committee has at most 1 boy,

(iii) the committee must have at least 1 girl,

(iv) Boy A or Girl B must be in the committee?

CJC · Lecture · Example 8

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

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