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Using the digits 1, 2, 3, 4, 5, how many even three-digit numbers less than \(300\) can be formed if each digit can be used more than once?

 Mar 7, 2022
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You have 2 choices for the first digit [1 and 2] ==2

You have 5 choices for the 2nd digit [1, 2, 3, 4, 5]==5

You have 2 choices for the 3rd digit [2 and 4]==2

 

Total number of 3-digit permutations under 300 and all EVEN ==2  x  5  x  2 ==20 such permutations.

 Mar 7, 2022

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