Sum! Divided by 100
Number Theory
Level
2
What is the remainder when \(1! + 2! + 3! + \ldots + 29! + 30!\) is divided by \(100\)?
Details and assumptions
The notation \( n!\) (read as \(n\) factorial) refers to multiplying all the positive integers from \(1\) to \(n\). For example, \( 8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\).
by
Calvin Lin