Question

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?

Answer 1

@OregonDuck

Answer 2

11
15
120
10

Answer 3

I am thinking 10 but IDK

Answer 4

you are right

Answer 5

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

Answer 6

Yay! OK can you do one more?

Answer 7

yup

Answer 8

There are 9 candidates running for 3 seats on a committee. How many different election results are possible?

Answer 9

36
84
504
56

Answer 10

I think 84

Answer 11

yup you are right 84

it means
9C3 = 9! / (9-3)!3! = 9! / 6!3! = 9*8*7*6! / 6!*3*2*1 = 84

Answer 12

Yay! Thank you! You've been a big help!

Answer 13

fyi you should fan me if you need any more help that way you can send me a message

Answer 14

yup np anytime

Answer 15

lol yeah I already did

Answer 16

oh ok good :)

Answer 17

Thanks for the help! :)

Answer 18

yup, anytime you need help just send me a message and i will try to go on openstudy