Correct Answer - Option 3 : 360
The letters G,E and R can be arranged together in 3! = 6.
So we have 6 way to arrange G, E and R.
Considering GER as one alphabet or one block.
Now, we have 4 (M,A,N and A) +1 (GER) = 5 letters.
To be randomly arranged of which the 2 A's are indistinguishable. So they can be randomly arranged as:
\( {5!\over 2!} = 60\)
There is 60 way to arrange 5 letters.
So the total number of ways letters of the word MANAGER can be arranged such that the letter G, E and R come together is:
60 × 6 = 360
Hence, '360' is the correct answer.
