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Question

Mathematics Question on Combinations

The number of numbers consisting of four different digits that can be formed with the digits 0, 1, 2, 3 is :

A

18

B

24

C

30

D

72

Answer

18

Explanation

Solution

The number of numbers consisting of four different digits that can be formed with digits 0, 1, 2, 3 = 4! - 3! = 4. 3! - 3! = 3!(4 - 1) = 3! . 3 \Rightarrow 3.2.1.3 \, \Rightarrow 18