# Puzzles

## Three digit numbers

Source: UKMT Pink Kangaroo 2012

Brigette wrote down a list of all 3-digit numbers. For each of the numbers on her list she found the product of the digits. She then added up all of these products. Which of the following is equal to her total?

**A**\(45\)

**B**\(45^2\)

**C**\(45^3\)

**D**\(2^{45}\)

**E**\(3^{45}\)

If you enjoyed this puzzle, check out Sunday Afternoon Maths X,

puzzles about numbers, or a random puzzle.

puzzles about numbers, or a random puzzle.