How many arrangements in the word NUMBER begin and end with a vowel ??

Please Help (Crying)

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- Oct 28th 2009, 01:38 PMcreatively12Permutations
How many arrangements in the word NUMBER begin and end with a vowel ??

Please Help (Crying) - Oct 28th 2009, 01:59 PMPlato
Here are two $\displaystyle ENMBRU~\&~UNMBRE$.

Now count the middle four of each of those two. - Oct 28th 2009, 02:16 PMcreatively12
and if there were 720 arrangements of the word NUMBER, how many of the arrangements be beginning and ending with a vowel ?

would it be like, there are 4 non vowel words, which could be arranged in 4!= 24 different ways, and there are 2 vowel words which could be arranged in 2!= 2 different ways. So, 24 X 2 = 48.... Am I correct ??? - Oct 28th 2009, 02:23 PMPlato
- Oct 28th 2009, 02:27 PMcreatively12
thanks for your help, I really appreciate it.........