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how many arrangements are there of the letters COMMITTEE where none of the vowels are next to eachother? Thank you!

Guest Apr 9, 2018
 #1
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CMMTT         OIEE

 

ignore the vowels, the consonents can go in     5!/(2!2!) = 2*3*5 = 30 ways to place the consonants

 

 # C # M # M # T # T #                  6 hashes  that is where the vowels can go    6P4/(2!) = 180 ways

 

30*180 = 5400 ways      (I think)

Melody  Apr 9, 2018
 #2
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thanks!

nadja.birch1  Apr 9, 2018
edited by nadja.birch1  Apr 10, 2018

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