Q.

The digit in the unit's place of the number  1!+2!+3!+.....+99!  is

1 3  
2 0  
3 1  
4 7  

Ans.

(1)

Unit's place digit of the given number

= Unit's place digit of (1!+2!+3!+4!)+0                   (As from 5!, unit's place digit = 0)

= Unit's place digit of (1 + 2 + 6 + 24)

= Unit's place digit of 33 = 3