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Problem Solving (PS) | Re: How many 3 digits even numbers are possible using the digits 0, 3, 1

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EgmatQuantExpert wrote:

Wildflower wrote:
For a 3 digit number to be even, it has to be either 0 or6.

Constraint: all digits have to be different

Case 1: With 0 as the last digit.

Units digit = 0 --> 1 way
Tens digit can be 3,1,6,7,9, and NOT 0 --> 5 ways
Hundreds digit cannot be 0 and tens digit --> 4 ways
Total = 1 x 5 x 4 = 20 ways

Case 2: With 6 as the last digit

Units digit = 6 --> 1way
Tens digit cannot be 6 --> 5 ways
Hundreds digit cannot be units digit, tens digit, and zero --> 3 ways
Total

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