Question 333367: In how many ways can the word SUNDAY be arranged.
How many arrangements begin with S and do not end with Y?
Answer by jrfrunner(365)   (Show Source):
You can put this solution on YOUR website! assuming there are no duplicated letters, there are n! different ways of ordering a word with n letters
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the word SUNDAY be arranged in 6!=6*5*4*3*2=720 ways
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The are 5! ways of ordering the word SUNDAY if the first letter is rstricted to S, because only the 5 remaining ones are allowed to change.
There are 4! ways of ordering the word SUNDAY if the first letter is restricted to S "and" the last letter is restricted to Y
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Therefore, there are 5!-4! ways that the word SUNDAY can be arranged such that the first letter is S and the last letter "is not" Y
5!-4! = 120-24 =96
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