What are the number of different ways to select four persons from a group of 6 males and 4 females s...........

Quantitative Aptitude ( CCS) Permutation & Combination

What are the number of different ways to select four persons from a group of 6 males and 4 females so that atleast one boy should be there in the selection ?

210

209

208

205

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Explanation:

In a group of 6 males and 4 females, four persons are to be selected such that
at least one boy should be there.
So we can have
(four males) or (three males and one female) or (two males and two females) or (one male and three females)
This combination question can be solved as
(6C4)+(6C3* 4C1)+(6C2*4C2)+(6C1*4C3) = [15 + (20*4)+(15*6)+(6*4)] =15+80+90+24 = 209