Please help me with this homework problems???? I'm not very good in it but I'm trying to learn its concept

Please help me with this homework problems???? I'm not very good in it but I'm trying to learn its concept




A group of 12 environmentalists comprising of 7 engineers and 5 biologists are to be selected to form a committee. Find the number of ways of

(a) Forming a committee of 5 members consisting of at least 3 engineers.

(b) Arranging all the 12 environmentalists in a row such that they are always in the group of the same expertise.

(c) Selecting 3 members for the post of chairman, secretary and treasurer.

(d) Forming a committee of 5 members with an engineer as chairman and a biologist as secretary.



Ps:I'm stuck at this question and not very pro in permutation problems, help me!!!





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