Permutations & Combinations - Questions & Discussions

xat discution

Please help me out with the below scenario,

Suppose I have a set of duplicate numbers such as S={1,2,3,1,2,3}

and out of those I have to select 4 numbers such that their rearrangement is not counted.


For e.g in this case for selection 4 numbers

1,2,3,1

1,2,3,2

1,2,3,3

1,1,2,2

2,2,3,3

1,1,3,3


so total 6 cases are possible.


while selecting 5 numbers

1,2,3,1,2

1,2,3,1,3

1,2,3,2,3


only three cases are possible.


Can some please come up with a solution for the question and the set can be of any number with equal number of duplicates in it.


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