permutations of letters in VERTICAL beginning w/ 3 vowels  TOPIC_SOLVED

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permutations of letters in VERTICAL beginning w/ 3 vowels

Postby AmySaunders on Thu Aug 20, 2009 6:31 pm

I am working through Saxon Advanced Mathematics and need help understanding this question:

How many permutations of the letters in the word vertical begin with three vowels?
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Postby stapel_eliz on Thu Aug 20, 2009 6:34 pm

You only have the three vowels, which limits your options nicely. :wink:

You'll have E, I, and A at the beginning. In how many ways can these three be permuted?

You'll have V, R, T, C, and L at the end. In how many ways can these five be permuted?

Once you have the numbers of options of each independent outcome, apply the Basic Counting Principle by multiplying these numbers to get the required total number of options. :D
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Re: permutations of letters in VERTICAL beginning w/ 3 vowels

Postby AmySaunders on Thu Aug 20, 2009 6:37 pm

So it's 3! x 5! = 720. Thank you SO much. I understand!
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