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Asked Jul 8, 2019
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7. How many different ways can you rearrange the letters in the word: STRESSOR
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7. How many different ways can you rearrange the letters in the word: STRESSOR

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Expert Answer

Step 1

Given word is: STRESSOR

Total number of letters in word STRESSOR is 8, so, the number of ways to rearrange these letters will be 8!

But, in this word, the letter S is repeated 3 times, which can be arranged in 3! ways and the letter R is repeated 2 times, which can be arranged in 2! ways.

And it is known that, if there is n letters word, in which a letter is repeated p times and another letter is repeated q times, then total number of rearrangements is given by:

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n! p!q!

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Step 2

Therefore, the total number of ways to rearrange ...

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8! n! plq! 3!2! 8! 3!2! 40320 6x2 =3360

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