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Question

The number of ways in which the letters of the word "ARRANGE" can be arranged such that both R do not come together is?


A

360

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B

900

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C

1260

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D

1620

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Solution

The correct option is B

900


Explanation for the correct option(s)

Find the number of ways

Consider the given word "ARRANGE",

We have 2 repeating letters there are two R's and two A's and rest letters are one each.

Total possible number of ways is equal to 7!2!×2!=7×6×5×4×3×2!2×1×2!=1260

Number of ways two R's can be arranged together is given as 6!2!=6×5×4×3×2!2!=360

Hence, the total number of ways when both R's do not come together a re1260-360=900

Therefore, the correct answer is Option B.


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