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How many arrangements of the word TRIGONAL can be made if only two vowels and three consonants are used?

Correct Answer: 3600

Explanation:

First we need to choose two vowels  3 C 2  and then three consonants 5 C 3 . Now that we have 5 letters required to make the word,arrange them in 5! ways.


 


So, 3 C 2 * 5 C 3 * 5 !   =   3600


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