Your school newspaper has an editor-in-chief and an assistant editor-in-chief.

Question

09-01-2025
Mathematics

High School

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Your school newspaper has an editor-in-chief and an assistant editor-in-chief.

Answer :

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CallumPhillips CallumPhillips · Answer 1 · 2025-01-08T15:34:02-05:00

There are 132 ways to choose an editor in chief and an assistant editor in chief from a staff of 12 students. First, 12 choices for the editor in chief and 11 remaining choices for the assistant editor yield 132 combinations in total.

Step-by-Step Explanation

To determine the number of ways to choose students for these two positions, follow these steps:

First, choose the editor in chief from the 12 students. This can be done in 12 ways.
After selecting the editor in chief, 11 students remain. So, choose the assistant editor in chief from these 11 students. This can be done in 11 ways.
Multiply the number of ways to choose the editor in chief by the number of ways to choose the assistant editor in chief.

So, the calculation is:

12 (ways to choose the editor in chief) × 11 (ways to choose the assistant editor in chief) = 132

Therefore, there are 132 ways to choose students for these two positions.

Complete question is

Your school newspaper has an editor in chief and an assistant editor in chief. The staff of the newspaper has 12 students. In how many ways can students be chosen for these two positions?