Question

Out of 8 Consonants and 5 vowels, how many words of 3 consonants and 2 vowels can be formed?

• A. 210
• B. 420
• C. 510
• D. 680

Answer 1

The correct option is B 420

Number of ways of selecting (3 consonants out of 8) and (2 vowels of out 5)
${=}^8{C}_3{\times }^5{C}_2=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}$
$=560$