Maths Olympiad Prep

Track / Stage 4 / 52 of 340 #312 of 1964

Problem 312

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 101010=10 \cdot 10 \cdot 10= 1000 different codes.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.