Question

remainder obtained when 1!+2!+3!...+49! is divided by 20

Answer 1

Answer:

The value of 5! is 120

All the factorials after 5! will leave remainder zero when divided by 20

So the remainder can be calculated by calculating the remainder of

20

(1!+2!+3!+4!)

=

20

(1+2+6+24)

=

20

33

∴ Remainder is 13.