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Find the number of three-digit number in...

Find the number of three-digit number in which repetition is allowed and sum of digits is even.

Text Solution

Verified by Experts

The correct Answer is:
450

Case I : All the digits are even
Number of numbers `=4xx5xx5=100`
Case II : One digit is even and two digits are odd
If fist digit is even then number of numbers `=5xx5xx5=125`
If third digit is even then number of numbers `=5xx5xx5=125`
So, total number of numbers `=100+100+125+125=450`
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