How many different $3$-digit numbers can be formed from the digits $1,2,3,4$ without repetition?
Practice this question from Chapter Mock 12: Permutation, Combination and Probability, with options and an explanation.
Question
How many different $3$-digit numbers can be formed from the digits $1,2,3,4$ without repetition?
Option A
12
Option B
18
Option C — Correct answer
24
Correct choice.
Option D
36
Explanation
This is ${}_4P_3=4\times3\times2=24$.