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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:
Solution
2 trainees out of 3 can be chosen in 3C2 = 3 ways.
3 research associates out of 6 can be chosen in 6C3 = 20 ways.
A committee with 2 trainees and 3 research associates can be formed in 3*20 = 60 ways.
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