Question

Out of 7 consonants and 4 vowels, words are to be formed by involving 3 consonants and 2 vowels. The number of such words formed is :

• A. $25200$
• B. $22500$
• C. $10080$
• D. $5040$

Answer 1

The correct option is A $25200$

Number of words formed $=$ Number of ways of selecting $3$ consonants $\times$ number of ways of selecting $2$ vowels $\times$ total permutations of 5 alphabets

$={}_3^{7}C\times {}_2^{4}C\times 5!$

$=25200$