Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 13, 2026

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
B
900
C
1260
D
1620

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Text Solution

Verified by Experts
The correct answer is:
C

The word ARRANGE, has AA, RR, NGE letters, that is two A' s, two R's and N, G, E one each.

∴ ∴ The total number of arrangements

= = 1260

But, the number of arrangements in which both RR are together as one unit = = 360.

The number of arrangements in which both RR do not come together = 1260 – 360 = 900.

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