1 votes 1 votes In how many different ways can 8 different shirts be distributed among 4 different people so that each receives 2 shirts? (a) 2850 (b) 2680 (c) 2520 (d) 1908 DSMaurya asked Mar 25, 2017 DSMaurya 990 views answer comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Jul 17, 2019 reply Follow Share The correct answer is $2520$ $\binom{8}{2}\times \binom{6}{2}\times\binom{4}{2}\times\binom{2}{2} = 28\times 15\times6\times1 = 28\times 90 = 2520$ 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes 2520 # ways to make sets of 2 = 8!(permute)/2!2!2!2!(order does not matter inside the set) = 105. Arranging these sets in 4 bodies = 105 * 4! = 2520 Quixote answered Mar 25, 2017 Quixote comment Share Follow See 1 comment See all 1 1 comment reply KUSHAGRA गुप्ता commented Jul 2, 2019 reply Follow Share $8!/2!*2!*2!*2!\neq 105$ 0 votes 0 votes Please log in or register to add a comment.