In how many different ways can the letters of the word MAMMAL be rearranged so that the letters M are separated?
2026-04-13 10:42:02.1776076922
Letter Arrangement with Permutations
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1
You have three $M$s that need to be placed in a line of six without being next to each other. You have a stars and bars problem. Start with three $M$s. Now pick two slots for the $A$s If they separate both pairs of $M$s, how many choices of places for the $L$? If one is on an end, how many choices for the $L$. If they are both on the end, how many choices for the $L$? If they are together in the middle, how many choices for the $L$? I think $72$ is badly wrong.