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  4. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

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Q. Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to

Permutations and Combinations

Solution:

Given $4$ vowels and $5$ consonants
$\therefore $ Total number of words
$=\,{}^ {4}C_{2} \times\, {5}C_{3} \times \, 5! $
$= 7200$