A juice company decides to test five different brands of juice. The different brands have been labeled A, B, C, D, and E. The company decides to compare each brand with the other brands by pairing together different brands. How many different pairs will result by selecting two different brands at the same time?

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A juice company decides to test five different brands of juice. The different brands have been labeled A, B, C, D, and E. The company decides to compare each brand with the other brands by pairing together different brands. How many different pairs will result by selecting two different brands at the same time?

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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11 15 120 10
I am thinking 10 but IDK

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Other answers:

you are right
you would want to find the number of combinations of 5 things taken 2 at a time 5C2 = 5!/[2!3!] = 5 * 4 * 3 * 2 * 1/(2 * 1 * 3 * 2 * 1) = (5 * 4)/2 = 5 * 2 = 10
Yay! OK can you do one more?
yup
There are 9 candidates running for 3 seats on a committee. How many different election results are possible?
36 84 504 56
I think 84
yup you are right 84 it means 9C3 = 9! / (9-3)!3! = 9! / 6!3! = 9*8*7*6! / 6!*3*2*1 = 84
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