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Determine whether the following would use a permutation or combination, then determine the total number of outcomes.In how many ways can a committee of five people be chosen from a pool of 120 employees?

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The Solution:

We are asked to find the number of ways a committee of 5 people can be selected from 120 people.

The Combination is to be used to determine the outcome.

Find the total number of outcomes.


^(120)C_5=(120!)/((120-5)!5!)=(120*119*118*117*116)/(5*4*3*2)=190578024\text{ ways}

Therefore, the correct answer is 190578024

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