A company has 7 senior officers and 5 junior officers. If a committee is to be formed consisting of 4 senior officers and 2 junior officers, how many different committees can be created?

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350

Correct

840

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Official Explanation

Official

A company employs 7 senior officers and 5 junior officers. To determine the number of different committees that can be formed with 4 senior officers and 2 junior officers, we calculate the combinations. The number of ways to choose 4 senior officers from 7 is given by

C^4_7

,…

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Comments

liaOct 7, 2024

Thank you very much!

RishiOct 28, 2024

thanks

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.