Multiple choice general knowledge math & puzzles

  1. I am the remainder of a! / b!, where a and b are any positive integers with a > b. Here, a! means a factorial. What number am I?

  1. 2

  2. 3

  3. 0

  4. 4

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since a > b, a! = a * (a-1) * ... * (b+1) * b!. Therefore, a! is a multiple of b!, and the remainder of any multiple divided by its factor is always 0.