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The sum of all five digit numbers that c...

The sum of all five digit numbers that can be formed using the digits 1 , 2 , 3 , 4 ,5 when repetition of digits is not allowed is

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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