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Permutations and Combinations

Permutations and Combinations

by Archana Tikayat Ray -
Number of replies: 1

Find the number of permutations of n different things taken r at a time such that the two specified things occur together?

In reply to Archana Tikayat Ray

Re: Permutations and Combinations

by Braj Arora -

Once you've those 2 things remaining things can be selected in C(n-2, r-2) ways. In each group arrangement can be done in (r-1)!.2! ways so that those 2 things are always together. Just multiply the above two. I've assumed that 2 specific things are always present in the permutation and are always together.