How many words are formed by 2 vowels and 3 consonants, taken from 4 vowels and 5 consonants?

3 consonants out of 5 consonants can be chosen in 5C3 ways. 2 vowels out of 4 vowels can be chosen in 4C2 ways. And also 5 letters can be written in 5! Ways. Therefore, the number of words can be formed is (5C3 X4C2 X 5!) = 7200.


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