Maths Olympiad Prep

Track / Stage 1 / 21 of 320 #21 of 2604

Problem 21

Combinatorics Difficulty 1.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2007

Cayli must choose one activity from each of the following groups: art, sports, and music. If there are 2 art choices, 3 sports choices, and 4 music choices, how many possible combinations of art, sports, and music choices can Cayli make?

(A) 99 (B) 2424 (C) 1212 (D) 1414 (E) 2020

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.