Question

Hey Guys!
What would be the answer to this question:-
Q) What will be the remainder when (40!) is divided by 41
*Given that*
If p is a prime no. then (p-1)! + 1 is divisible by 'p'

Please Answer in this context only

Answer 1

If P is a prime number, then (P - 1)! + 1 is divisible by P.

∴ 41 is a prime number. So (41 - 1)! + 1 = 40! + 1 is divisible by 40.

40! + 1 divided by 41 leaves remainder 0.

∴ 40! divided by 41 leaves remainder 41 - 1 = 40.

40 is the answer.

Thank you. Have a nice day.

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