Question

Out of 7 consonants and 4 vowels, no. of words that can be made each containing 3 consonants and 2 vowels is

• A. $120$
• B. $25200$
• C. $4200$
• D. None of these

Answer 1

Answer: (B)

$25200$

$7⟶$consonants

$4⟶$ vowels

$3$ - consonants , $2$ - vowels } $5$

${=}^7{C}_3{\times }^4{C}_2\times 5!=\frac{7!}{4!\times 3!}\times \frac{4!}{2!\times 2!}\times 5!=\frac{7\times 6\times 5}{3\times 2}\times 3!\times 5!=35\times 6\times 120=25200$