Another Arrangment question: Given the word 'dessert',....

Clifford

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Nov 15, 2006
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Could somebody check of these and see I am doing them right? Thanks

Given the word dessert,
A) how many words can be arranged if the s's are together?
B) how many words can be arranged if the s's and e's are together?
C) how many words can be arranged if the s's are together but the e's are not together.

A) treat s's as one letter, 6! / 2! = 360
B) treat s's as one letter and e's as one letter, (7-2)! = 5! = 120
C) Subtract B from A, 360 - 120 = 240
 
Hello, Clifford!

Looks good to me . . . nice work!
(And thank you for showing your reasoning.)
 
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