Study the given information carefully and answer the question that follow:
A committee of five members is to be formed out of 3 trainees 4 professors and 6 research associates In how many different ways can this be done if:
The committee should have all 4 professors and and 1 research associate or all 3 trainees and 2 professors ?
Solution
A committee with all 4 professors and and 1 research associate can be formed in 6 ways as any 1 of 6 Research Associates can be selected.
A committee with all 3 trainees and 2 professors can be formed in 6 ways as 2 professors out of 4 can be selected in 4C2 ways.
Hence a desired committee can be formed in 12 ways.
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