How do you find the number of permutations of all the letters of the word SCISSORS which you have no two letters S,S consecutive?

1 Answer
Apr 20, 2017




Apart from the letter "S", all of the other letters in "SCISSORS" are unique.

Writing "?" for letters from "CIOR", the permissable permutations take one of the following forms:






These #5# permissable arrangements are independent of the sequence of #4# letters of "CIOR" which occur where the "?"'s are.

So there are a total of:

#5 * 4! = 120#

permissible permutations.