How many groups of 6 persons can be formed from 8 men and 7 women ?



How many groups of 6 persons can be formed from 8 men and 7 women ?

A . 5000

B . 5005

C . 5050

D . None of these

Answer : B . 5005


Explanation:


    Total number of person = 8 men + 7 women = 15
    No. of groups can be formed of 6 persons = 15C6
    = 15! /{6! (15 – 6)!}
    = 15! /(6! 9!)
    = (15 x 14 x 13 x 12 x 11 x 10)/(6 x 5 x 4 x 3 x 2 x 1)
    = 5005


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