The number of arrangements, of the letters of the word MANAMA in which two M's do not appear adjacent, is

Step-by-step solution

There are 6 letters. M repeats 2 times, A repeats 3 times. We first arrange all letters except 2 M ^ s in 4! 3! =4 ways These 4 letters create 5 gaps, where we can arrange 2 M ^ s in ^5 p ₂ 2! =10 ways Required number of arrangements =4 10=40