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how many permutations can be formed from k types of objects with n sub i >...

how many permutations can be formed from k types of objects with n sub i > 0 objects of type i for 1 <= i <= k so that all objects of the same type are adjacent to each other in each permutation

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Answer #1

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Answer:

A bundle of two specific things can be put in r places in (r-1) ways and 2 things in the bundle can be arranged themselves into 2! ways. Now (n-2) things will be arranged in (r-2) places in n-2Pr-2 ways.

thus using the fundamental principle of counting, the required number of permutations will be 2!.(r-1).n-2Pr-2

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