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Question

The sum of the unit digits of all 5 digit numbers that can be formed using 0,1,3,4 and 6 without repetition, is

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Solution

If we fix any digit except 0 in the unit place, then the other digits can be arranged in
3×3×2×1=18 ways
If unit digit is 0, then the sum will be 0.

Hence the required sum will be 18×(1+3+4+6)=252

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