Question

If 1! + 2! + 3! + . + 50! Is divided by 5, then the remainder is

Answer 1

Step-by-step explanation:

1!+2!+3!+.............+50!

1! is the smallest and 50! is the highest

now the half of 50! is 25! and if we increase 1! in 50! it will give 51!

Now 25! * 51!=1275!

So,1!+2!+3!+...........+50!=1275!

now divide 1275! with 5!=255 and 1275 is completely divisible by 5 .

Hence, (1!+2!+3!+.................+50!)/5 then the remainder will be zero because it is completely divisible by 5.