2 votes 2 votes 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? Pooja Palod asked Oct 5, 2015 Pooja Palod 653 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes 4 ways : {1,4,4}, {4,1,4], {4,4,1}, {3,3,3} Happy Mittal answered Oct 9, 2015 • selected Nov 13, 2015 by Arjun Happy Mittal comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes From the given info,we can write as x1+x2+x3=9 and 1<=xi<=4( no 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 Shah answered Nov 13, 2015 • edited Nov 13, 2015 by Shah Shah comment Share Follow See 1 comment See all 1 1 comment reply Kaluti commented Sep 5, 2017 reply Follow Share @ shah by above method we will get those cases as well where one party will have majority right?by above method you will get 25 as answer which is not equal to 4 right. 0 votes 0 votes Please log in or register to add a comment.