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A class has 5 freshmen, 4 sophomores, 6 juniors, and 5 seniors. A committee is to be formed by selecting two members from the seniors and one member from each of the other grades. How many different committees are there?

 Feb 6, 2021
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We can pick 2 seniors and there are 5 seniors so 5 x 4 = 20 ways to pick seniors 

 

We can pick 1 freshman and there are 5 freshmen so 5 ways to pick freshman

 

We can pick 1 sophomore and there are 4 so 4 ways to pick sophomores. 

 

We can pick 1 junior and there are 6 so 6 ways to pick a junior

 

 

20 x 5 x 4 x 6 = 2400 different comittees

 Feb 6, 2021

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