Determine Whether a Permutation, a Combination, Counting Principles, or a Determination

question 10

Short Answer

Determine whether a permutation, a combination, counting principles, or a determination of the number of subsets is the most appropriate tool for obtaining a solution, then solve.
A committee of 3 people is selected from a group of 7 people. How many different ways can this be done?

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Definitions:

Forecasting

The process of making predictions about future events or trends, based on analysis of historical data and current information.

Cognitive Dissonance

A psychological phenomenon experienced when an individual holds two or more contradictory beliefs, ideas, or values, leading to discomfort and the motivation to reduce the inconsistency.

Unethical Decision

A choice made that goes against moral principles or ethical standards, often resulting in harm or unfairness to individuals or groups.

Guilt

A feeling of responsibility or remorse for some offense, crime, wrong, whether real or imagined.