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The letters of the word CHEMISTRY'' are arranged randomly to form a new word. What is the probability that the word will start and end with a vowel?
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total possible arrangement combinations,

= 9! = 362 880

so for P(starting and ending with a vowel), it will either start with E and end with I or vice versa,

so will have to divide by E and I factorials

7!/2!  =  2 520

hence probability= 2 500/9! = 0.006889... = 0.007
by Diamond (43,702 points)

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