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Vlad [161]
3 years ago
4

How many different strings can be made from the letters in aardvark, using all the letters, if all three as must be consecutive?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0
AARDVARK has 3 A's, 2 R's, 1 D, 1 V, and 1 K. If all three A's have to be together, then treat them as one letter. So there are a total of 6 "letters" to arrange. There would be 6! ways to arrange them if the "letters" were all different, but you have to keep in mind that there are 2 R's which are the same, so you need to divide out the number of ways to arrange the R's if they were different, which is 2!. 

<span>So, in total, there are 6!/2! = 360 ways to arrange the letters in AARDVARK if all three A's must be consecutive.</span>
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