SOLUTION: The word EQUATIONS contains all five vowels. How many 7-letter "words" consisting of all five vowels can be formed from the letters of EQUATIONS? Thanks!!

Question 941728: The word EQUATIONS contains all five vowels. How many 7-letter "words" consisting of all five vowels can be formed from the letters of EQUATIONS?
Thanks!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The word EQUATIONS contains all five vowels. How many 7-letter "words" consisting of all five vowels can be formed from the letters of EQUATIONS?
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Total # of letters:: 9
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Arrangements of the 5 vowels:: 5!
Arrangements of 2 of the 4 consonents:: 4P2 = 4*3
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Ans: # of words = 4*3*5! = 12*120 = 1440
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Cheers,
Stan H.
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