The number of ways of selecting 6 clerks from 8 male & 7 female applicants if the selection is to consist of either all males or all females is

The number of ways of selecting 6 clerks from 8 male & 7 female applicants if the selection is to consist of either all males or all females is

A
25
B
30
C
35
D
40

Solution:

The number of ways of selecting 6 males from 8 males ( or) 6 females from 7 females is $= {}^{8}C_{6} + {}^{7}C_{6} = 35$

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