Question

With 17 consonants and 5 vowels, the number of words of four letters that can be formed having two different vowels in the middle and one consonant, repeated or different at each end is

• A. 5780
• B. 2890
• C. 5440
• D. 2720

Hint:

Middle positions fixed → arrange vowels first.

Answer 1

The Correct Option is A

Step 1: Choose 2 different vowels for middle: ⁵P₂=20
Step 2: Choose consonants for first and last places: 17×17
Step 3: 17²×20=5780