# Permutations

• Oct 28th 2009, 01:38 PM
creatively12
Permutations
How many arrangements in the word NUMBER begin and end with a vowel ??

• Oct 28th 2009, 01:59 PM
Plato
Here are two \$\displaystyle ENMBRU~\&~UNMBRE\$.
Now count the middle four of each of those two.
• Oct 28th 2009, 02:16 PM
creatively12
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 PM
Plato
Quote:

Originally Posted by creatively12
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 ???

Yes you are correct.
• Oct 28th 2009, 02:27 PM
creatively12
thanks for your help, I really appreciate it.........