The remainder when 1!+2!+3!...+50! divided by 6! will be
Choose the most appropriate option:
A) 21
B) 153
C) 77
D) 927
E) 19
The remainder when the terms greater than 6! are divided by 6! becomes 0 so we need to consider the terms upto 5!.   So remainder will be whatever is obtained by dividing 1!+2!+3!+4!+5! with 6!.   So remainder is obtained by dividing  (1+2+6+24+120)= 
<gadget id="calculator"> (1+2+6+24+120)</gadget>
<output>153</output>
153 with 6! ( 720)   So remainder is 153.   Answer:153
<result>B</result>
The remainder when 1!+2!+3!...+50! divided by 6! will be