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

Step-by-step solution

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