513 views
0 votes
0 votes
In how many different ways can a set of 3n elements be partitioned into 3 subsets of equal number of elements?

Isn't this case of distributing distinguishable objects and distinguishable boxes, so the answer should be $(3n)! / ((n!)^3 )$.

But answer given is $ (3n)! / (6*(n!)^3) $

Can anybody explain? Or post a link where to study all concepts of permutation and combination and counting

Please log in or register to answer this question.

Related questions

0 votes
0 votes
1 answer
2
Na462 asked Oct 13, 2018
499 views
An Entrepenuer wants to assign 5 different jobs to 3 of his employees. If every employee is assigned atleast 1 task, how many ways the entrepenuer can assign those task t...
0 votes
0 votes
0 answers
3
Anshul Shankar asked Dec 7, 2017
858 views
How many to divide 2t objects?A. 2 groups of t eachB. t groups of 2 each
0 votes
0 votes
2 answers
4
Lakshman Bhaiya asked Oct 30, 2018
1,666 views
9 different books are to be arranged on a bookshelf. 4 of these books were written by Shakespeare, 2 by Dickens, and 3 by Conrad. How many possible permutations are there...