0 votes 0 votes in how many ways 4 different balls can be distributed in 5 different boxes so that no box contains all 4 balls Sanjay Sharma asked Nov 23, 2018 Sanjay Sharma 1.5k views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply Sanjay Sharma commented Nov 23, 2018 reply Follow Share what if balls and boxes both are numbered 0 votes 0 votes Shubhgupta commented Nov 23, 2018 reply Follow Share i think its already mentioned that different balls and different boxes if those are numbered then any ball can go into any 5 boxes. so required ways are = $5^{4} - 5 $. 0 votes 0 votes Hemanth_13 commented Nov 23, 2018 reply Follow Share Yes it should be $5^4 - 5$ as Shubhgupta said. Any ball can go into any box $5^4$ balls should not be going to same box $5$ total=$5^4 - 5$ 0 votes 0 votes Shaik Masthan commented Nov 23, 2018 reply Follow Share this may help https://gateoverflow.in/132665/%23discrete-%23combinatorics 0 votes 0 votes Please log in or register to add a comment.