How many three digit numbers are there such that the sum of whose digits is odd?
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Sum of the three digit will be odd only if
Now,
Digits with all odd number w i t h r e p e t i t i o n will be: 5 × 5 × 5 = 1 2 5
Numbers with one odd and two even:
Total cases 4 × 5 × 5 = 1 0 0
Total cases 4 × 5 × 5 = 1 0 0
Total cases 5 × 5 × 5 = 1 2 5
Which brings the total to 1 2 5 + 1 0 0 + 1 0 0 + 1 2 5 = 4 5 0