2 votes 2 votes In how many ways can 12 different( not same) coloured balls be distributed among 3 boys so that each gets atleast 1 ball? ans:- 519156 sampad asked Jan 8, 2017 • edited Jan 10, 2017 by sampad sampad 500 views answer comment Share Follow See 1 comment See all 1 1 comment reply avadh commented Jan 8, 2017 reply Follow Share Nice 0 votes 0 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes One way : S(12, 3) * 3! See the link here ------------------------------------------ Other way: Principle of inclusion-exclusion 312 - [ $\binom{3}{1}$ * 212 - $\binom{3}{2}$ * 112] = 519156 Sushant Gokhale answered Jan 10, 2017 • selected Jan 10, 2017 by Kapil Sushant Gokhale comment Share Follow See all 0 reply Please log in or register to add a comment.