Question

How many different words can be formed with the word CUSTOM with a condition that the word should begin with M?

• A. 720
• B. 540
• C. 120
• D. 180

Answer 1

The Correct Option is C

To determine the number of different words that can be formed with the word "CUSTOM" under the condition that the word should begin with the letter "M", follow these steps:

1. Fix the starting letter: Since the word must begin with "M", the first letter is fixed as "M".
2. Count the remaining letters: After fixing "M" as the first letter, we have the letters "C", "U", "S", "T", and "O" remaining.
3. Calculate permutations: The number of permutations of these 5 letters is given by the factorial of the number of letters. That is 5 letters can be arranged in 5! (5 factorial) ways.
4. Compute 5!: 5! = 5 × 4 × 3 × 2 × 1 = 120.

Thus, the number of different words that can be formed is 120.