how many words can be formed out of five different consonants and 4 different vowel if each word is to contain 3 consonant and 2 vowel
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Step-by-step explanation:
From 5 consonants, 3 consonants can be selected in 5C3 ways.
From 4 vowels, 2 vowels can be selected in 4C2 ways.
Now with every selection, number of ways of arranging 5 letters is 5P5ways.
Total number of words = 5C3*4C2*5P5
= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200
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