Question #f2635

1 Answer
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Jan 6, 2016

The final answer is #6! = 720#

Explanation:

(Considering that repetition is not allowed)
If the vowels are not changing, you can just consider that you're arranging the other 6 letters in the remaining 6 spaces using the permutations formula
#(n!)/((n-r)!)#
in this case #(6!)/((6-6)!)# = #6!# (because #0! =1# )
#6! = 720#

If you need to understand permutations on a more introductory level I recommend this link https://www.mathsisfun.com/combinatorics/combinations-permutations.html
If you're wondering why #0! =1#, I recommend this YT video

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