Question:
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repeating any digit?
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repeating any digit?
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Choices shrink 5, 4, 3 across the three places (no repeats).
Updated On: Jul 8, 2026
- 120
- 100
- 80
- 60
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The Correct Option is D
Solution and Explanation
Step 1: Fill the hundreds place.
Any of the 5 digits: 5 choices.
Step 2: Fill the tens place.
One digit used, so 4 choices remain.
Step 3: Fill the units place.
3 choices remain. Multiply: \[5 \times 4 \times 3 = \boxed{60}\]
Any of the 5 digits: 5 choices.
Step 2: Fill the tens place.
One digit used, so 4 choices remain.
Step 3: Fill the units place.
3 choices remain. Multiply: \[5 \times 4 \times 3 = \boxed{60}\]
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