Find the number of words formed by permuting all the letters of t… - Vidyadip

Question

Find the number of words formed by permuting all the letters of the following words: SERIES.

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Answer

There are 6 letters in the word 'SERIES' out of which 2 are S's, 2 are E's and the rest are all distinct. so, the total num bar of words $=\frac{6!}{2!\ 2!}$ $=\frac{6\times5\times4\times3\times2!}{2!\ 2!}$ $=\frac{6\times5\times4\times3}{2\times1}$ $=6\times5\times2\times3$ $=180$

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