Track / Stage 4 / 64 of 340 #324 of 1964

Problem 324

AMC 12 late, AIME early

Combinatorics Difficulty 4.7 Multiple choice

A7. On a bicycle lock, we can set a 3-digit code. For each of the three positions, we can choose one of the digits from 0 to 9. What is the maximum number of different codes we can set?

Pick one

Official solution

A7. At each position, we can choose from ten digits, so we can set up $10 \cdot 10 \cdot 10=$ 1000 different codes.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.