Question

From $5$ consonants and $4$ vowels, how many words can be formed using $3$ consonants and $2$ vowels?

• A. $9440$
• B. $6800$
• C. $3600$
• D. $7200$

Answer 1

The correct option is D $7200$

From $5$ consonants and $4$ vowels , we have to select $3$ consonant and $2$ vowel.

The no of alphabets in new word would be $5$. Those $5$ can be arranged within themselves.

Therefore , ${}^5{C}_3{\times }^4{C}_2\times 5!=7200$