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

The remainder when 1!+2!+3!...+50! divided by 5! will be

Quiz

Answer/Solution

33

Steps/Work

The remainder when the terms greater than 5! are divided by 5! becomes 0 so we need to consider the terms upto 4!.
So remainder will be whatever is obtained by dividing 1!+2!+3!+4! with 5!.
So remainder is obtained by dividing (1+2+6+24)= 33 with 5! ( 120)
So remainder is 33.
Answer:B