#### Question

In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S

#### Solution

In the word PERMUTATIONS, there are 2 Ts and all the other letters appear only once

If P and S are fixed at the extreme ends (P at the left end and S at the right end), then 10 letters are left.

Hence, in this case, required number of arrangements

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Solution In How Many Ways Can the Letters of the Word Permutations Be Arranged If The Words Start with P and End with S Concept: Concept of Permutations.