How many 3 digit numbers can you make using digits 2,4 and 0? (using each digit only once)

(1) 6
(2) 4
(3) 3
(4) 5


Given: The digits 2, 4, and 0.

To find: We have to find the number of three-digit numbers that can be made with 2, 4, 0 by using each digit once.

Solution: 

First let's write down all the three-digit numbers using 2, 4, 0 only once:

240, 204, 024, 042, 420 and 402.

So, a total of 6 cases possible but, we know that 024 and 042 are not actually three-digit numbers they are two-digit numbers. 

Therefore, all the four possible three-digit numbers using 2, 4, 0 only once are:

240, 204, 420 and 402.

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Updated on: 10-Oct-2022

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