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From the following, differen committees are to be made as per the requirement given in each question.In how many different ways can it de done? 10 men and 8 women out of which 5 men are teachers, 3 men doctors and businessmen. Among the women, 3 are 2 are teachers, 2 doctors, 2 researchers and 1 social worker.A Committee of 5 in which 3 men and 2 women are there.
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By: anil on 05 May 2019 01.38 am
Out of 10 men, Teachers = 5 Doctors = 3 and Business man = 2 Out of 8 women, Teachers = 3 and Doctors = 2 Researchers = 2 and Social worker = 1 Number of ways of selecting 3 men and 2 women. = $$C^{10}_3 imes C^8_2$$ = $$frac{10 imes 9 imes 8}{1 imes 2 imes 3} imes frac{8 imes 7}{1 imes 2}$$ = $$120 imes 28 = 3360$$
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