Question:medium
How many different words can be formed with the word CUSTOM with a condition that the word should begin with M?
How many different words can be formed with the word CUSTOM with a condition that the word should begin with M?
Updated On: Aug 18, 2026
- 720
- 540
- 120
- 180
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: Fix M first.
M has to be the first letter, so that spot is used up.
Step 2: Fill the rest one at a time.
The remaining 5 spots take the letters C, U, S, T, O in some order: 5 choices for spot 2, then 4, then 3, then 2, then 1.
Step 3: Multiply the choices.
\( 5 \times 4 \times 3 \times 2 \times 1 = 120 \). \[ \boxed{120} \]
M has to be the first letter, so that spot is used up.
Step 2: Fill the rest one at a time.
The remaining 5 spots take the letters C, U, S, T, O in some order: 5 choices for spot 2, then 4, then 3, then 2, then 1.
Step 3: Multiply the choices.
\( 5 \times 4 \times 3 \times 2 \times 1 = 120 \). \[ \boxed{120} \]
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