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How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Grade:

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
For a number to be even its unit digit should be even hence there are 3 options
for tens place there are 6 options (as digits can be repeated)
for hundreds place there are 6 options (as digits can be repeated)
Hence total number of ways=6*6*3=108
Thanks and Regards
Shaik Aasif
askIITians faculty

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