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Find the number of ways of forming a committee of 9 people drawn from 3 different parties so that no party has absolute majority in committee?

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From the given info,we can write as x1+x2+x3=9 and 1<=xi<=4no party has absolute majority in committee)

Here the generating function would be (x+x^2+x^3+x^4)^3 (since x1,x2,x3 so cube)

so we need to find the coefficient of x^9 to get the answer

edited by

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