4
AssignmentMultiple Choice

Sets and Venn Diagrams

Question 4 • TN-Algebra II B SC 26-27 (For Credit)

You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle. How many different groups of 7 people can you drive?

Answer
A
5,040
B
31,824
C
22,913,280
D
160,392,960

Explanation

You are choosing 7 people from 18, and the order in which you choose them does not matter. Use combinations: 18 choose 7 = 18! ÷ (7! × 11!) = 31,824. Therefore, the correct choice is 31,824.

AI-written and checked against the verified answer.

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