Question

How many words can be formed with $2$ vowels and $3$ consonants from $5$ vowels and $6$ consonants?

• A. ${}^5{C}_2\times 5!$
• B. ${}^5{C}_2{\times }^6{C}_3\times 5!$
• C. ${}^5{C}_2{\times }^6{C}_3$
• D. ${}^6{C}_3\times 5!$

Answer 1

Answer: (B)

${}^5{C}_2{\times }^6{C}_3\times 5!$

$2$ vowels and $3$ consonants from $5$ vowels and $6$ consonants.

${}^5{C}_2{\times }^6{C}_3$

These $5$ lettered word can be arranged among themselves.

${}^5{C}_2{\times }^6{C}_3\times 5!$