The remainder when `1!+2!+3!+4!+......+1000!` is divided by `10` is

Explanation

Given,

`(1!+2!+3!+……+1000!)/10`

`=((1!)/10)+((2!)/10)+((3!)/10)+….+((1000!)/10)`

`=1+2+6+4+0+0+…+0`

`=13`