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The remainder when 1!+2!+3!+4!+......+10...

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

Text Solution

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Given expression is = `1!+2!+3!+4!+5!...+1000!`
`1! = 1`
`2! = 2**1=2`
`3! = 3**2**1 = 6`
`4! = 4**3**2**1 = 24`
`5! = 5**4**3**2**1 = 120`
So, `5!` is divisible by `10`.
Now, `6! = 6**5!`
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