The remainder obtained when (1! + 2! + 3! + …..100!) is divided by 10 is
0
1
2
3
From 5! Onwards the unit digit is zero.
So, 1!+2!+3!+4! = 33
So, the unit digit of (1! + 2! + 3! + …..100!) is 3.
So, the remainder is 3.