1 votes 1 votes let there be 9 different objects and three person find no of ways of distribution if each person gets atleast 1 object sumit goyal 1 asked Dec 15, 2017 sumit goyal 1 476 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments sumit goyal 1 commented Dec 15, 2017 reply Follow Share is this right 0 votes 0 votes Ashwin Kulkarni commented Dec 15, 2017 reply Follow Share @sid there will be more cases. because objects are distinct 0 votes 0 votes sid1221 commented Dec 15, 2017 reply Follow Share i did not calculate whole calculation .... ye they will permutated with each other that is part of calculation i just mention cases ... wait m doing whole question 0 votes 0 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes Distributing n distinct object into m distinct boxes such that each box get at least one object is nothing but total number of onto functions. here, n= 9 m=3 applying $\sum_{i=0}^{m} \binom{m}{i} (-1)^{i} (m-i)^{n}$ Answer should be 18150 Akash Mittal answered Dec 15, 2017 edited Dec 15, 2017 by Akash Mittal Akash Mittal comment Share Follow See all 4 Comments See all 4 4 Comments reply sumit goyal 1 commented Dec 15, 2017 reply Follow Share 18150 ara hai mera 0 votes 0 votes sid1221 commented Dec 15, 2017 reply Follow Share nhi 18150 hi aa raha 1 votes 1 votes sid1221 commented Dec 15, 2017 reply Follow Share o ki power 9, 0 not 1 1 votes 1 votes Akash Mittal commented Dec 15, 2017 reply Follow Share ya..corrected! 1 votes 1 votes Please log in or register to add a comment.