The number of permutations of the alphabets of the word “ G O O G L E ” in which O ’ s are together but G ’ s are separated, is

Step-by-step solution

Keep both O ’ s together, then apart from G ’ s other alphabets can be arranged in 3 ! = 6 ways. In the gaps, two G ’ s can be placed in C 4 2 ways. OO L E Hence, the total number of ways = 3 ! ⋅ C 2 4 = 36