# Please help to understand the concept of The no. Of ways in which (m+n) different things can be divided into two groups which contain m and n things respective Please also mention its case also 1) if order of group is not important 2)if order of group is important

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by kaushikravikant

2015-09-12T14:52:03+05:30

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So we have totally N = m +n different objects.  We have to select  m things to form one group 1 and n things to form group 2.

1) Order of selection / order of formation of group is not important.
We take simply the number of combinations.  Let us select m objects out of m+n objects for group 1.  Automatically the group 2 is formed.

So:  answer = C(m+n, m)  or  C(m+n, n) =

2)  order of selection is important... So we take permutations of the members of the groups, in each group.

answer:  C(m+n, m) * m! * n!  = (m+n) !

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