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How many different 15 persons committees can be formed each containing at least 5 Engineers and at least one Professor from a set of 10 Engineers and 12 Professors?
Wiki User
∙ 13y ago
you can have
5 engineers and 10 professors in C(10,5)*C(12,10) =16632 ways
6 " and 9 " in C(10,6)*C(12,9)=46200 ways
7 " and 8 " in C(10,7)*C(12,8)=59400 ways
8 " and 7 " in C(10,8)*C(12,7)=35640 ways
9 " and 6 " in C(10,9)*C(12,6)=9240 ways
10 " and 5 " in C (10,10)*C(12,5)=792 ways
therefore different committees can be formed in (16632+46200+59400+35640+9240+792)=167904 ways
Wiki User
∙ 13y ago
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