The number of ways in which letters of the word ‘ARRANGE’ can be arranged, such that no two R’s are together, is

Question

The number of ways in which letters of the word ‘ARRANGE’ can be arranged, such that no two R’s are together, is, 160, 200, 360, 900

MARKS App · Accepted Answer

AANGE can be arranged in 5 ! 2 ! = 60 ways Six gaps will be created, two can be selected in C 2 6 ways where two R’s can be arranged in one way So, required number of ways = 6 × 5 2 × 60 = 15 × 60 = 900

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