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podryga [215]
3 years ago
12

the letters of the word combine are placed at random in a row in how many ways can an arrangement occur such that all vowels are

placed together​
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
<h3>Answer: 720</h3>

==========================================================

Explanation:

The word "combine" has three vowels o, i, and e.

One grouping of the three vowels together leads to oie, which we'll replace with Z for now.

So we have the "word" Zcmbn after taking out the vowels and replacing with Z temporarily. There are 5 letters in Zcmbn making 5! = 5*4*3*2*1 = 120 different permutations.

Within any permutation of Zcmbn, there are 3! = 3*2*1 = 6 ways to arrange the sequence oie

So overall there are 6*120 = 720 different ways to arrange the word "combine" such that all the vowels stick together.

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