Olympiad Maths Prep

Track / Stage 5 / 78 of 400 #678 of 2000

Problem 678

AIME late
Combinatorics Difficulty 5.2 Find the answer

Task 2. Angelica wants to choose a three-digit code for her suitcase. To make it easier to remember, Angelica wants all the digits in her code to be in non-decreasing order. How many different options does Angelica have for choosing the code?

Official solution

Problem 2. Angelica wants to choose a three-digit code for her suitcase. To make it easier to remember, Angelica wants all the digits in her code to be in non-decreasing order. How many different ways can Angelica choose her code? Answer. 220.

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