There are 8 people on the debate team. In how many ways can the coach choose 4 members to send to competition? 70 1,680 40,320

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There are 8 people on the debate team. In how many ways can the coach choose 4 members to send to competition? 70 1,680 40,320

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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70
@jobo explain
You can't just give direct answers

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\[\left(\begin{matrix}8 \\ 4\end{matrix}\right) = 70\]
8 people 4 slots (A,B,C,D) 8 choices for slot A 7 for slot B 6 for slot C 5 for slot D 8*7*6*5 = 1680 choices total IF order mattered, but it doesn't since order doesn't matter, we divide by 4! = 24 to get 1680/24 = 70 the result of 70 is equal to 8 C 4 as JoBo wrote above

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