Quantitative Ability and Data Interpretation Question on Probability

Question

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

Answer 1

Solution

To determine the number of different words that can be formed with the word "CUSTOM" with the condition that the word should begin with M, we can follow these steps:
1. Fix the first letter as M.
2. Arrange the remaining 5 letters (C, U, S, T, O).
The number of ways to arrange 5 letters is given by $5!$ :
$5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$
Therefore, the number of different words that can be formed is:
Answer: C (120)