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Question

How many words can be formed from the letters of the word 'SERIES' which start with S and end with S?

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Solution

In the word 'SERIES' there are 6 letters of which 2 are S and 2 are E's.

Let us fix 5 at the extreme left and at the extreme right end. Now, we are left with 4 letters of which 2 are E's. These four letters can be arranged in 4!2! ways. Hence, required number of arrangements

=4!2!=4×3×2!2!=12.


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