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Find the sum of all five digit numbers ,...

Find the sum of all five digit numbers ,that can be formed using the digits `1, 2, 3, 4 and 5` (repetition of digits not allowed)

A

366000

B

660000

C

360000

D

3999960

Text Solution

Verified by Experts

We know that the sum of all n-digit numbers formed by using n digits from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 is
Hence, required sum `=(1+2+3+4+5)xx4!xx((10^(5)-1)/(10-1))`
`=360(100000-1)/(9)=3999960`
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