Question
Asked Sep 18, 2019
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Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and g.

 Three of the seven representatives are to be selected to attend a statewide convention. How many ways are there to select the three officers?

 

To solve this I have uploaded a picture of how the notes are shown. My question is how they get the 7!/3!4!? where does 3! and 4! come from?

 

Thanks.

7!
35 ways
3
4!3!
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7! 35 ways 3 4!3!

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Expert Answer

Step 1

Combination: The number of different selections of ‘r’ elements from a set ...

n!
(n-r x r!
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n! (n-r x r!

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