Discussion

Explanation:

Rearranging the letters of the given word we have

A – 2, C – 1, I – 3, N – 1, O – 1, P – 2, R – 1, T – 2

There are a total of 13 letters out of which there are 2 of each of A, P and T and 3 I’s.

∴ Total number of words that can be formed using all the letters of the word PARTICIPATION = $\frac{13!}{2!\times 2!\times 2!\times 3!}$.

Hence, option (b).

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