(Q). Out of 5 men & 10 women a team of 6 is to be formed such that at least one men is included in the team. In how many ways such a team can be formed?
Solution:-
5×252 + 10×210 + 10×120 + 5×45 + 1×10
= 4795 ways Answer
Method(2):
Required number of ways =
number of ways of selecting 6 out of 15 people – number of ways of selecting only women (6) out of 10 women
= ¹⁵C₆ – ¹⁰C₆
= 5005 – 210
= 4795 ways Answer