Practice mode Permutation and Combination

In how many ways can the letters of the word ‘ARRANGE’ be arranged so that the two Rs are not together?

Correct answer A. 900

Explanation

Total = 7!/(2! x 2!) = 1260. With RR as one unit: 6!/2! = 360. So arrangements with Rs apart = 1260 - 360 = 900.

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