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A committee of five members is to formed out of 3 trainees, 4 professors and 6 research associates .In how many different ways can this be done if : T

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A committee of five members is to 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 1 research associate or all 3 trainess and professors? A. 12 B. 13 C. 24 D. 52 Select the correct answer from above options

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Correct Answer - A Number of combinations `=(""^(4)C_(4)xx""^(6)C_(1)+""^(3)C_(3)xx""^(4)C_(2))=1xx6+1xx6=12`

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