A juice company decides to test three different brands of juice. The different brands have been labeled A¸ B¸ and C. 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 a time?
3
6
10
1
um 6 might be the answer?
I think 3 is the answer
ab, ac, bc I dont count six.
number=3!/2!1!
Yes, you are correct! The number of different pairs that will result by selecting two different brands at a time can be calculated using the combination formula, which is nC2, where n is the number of different brands. In this case, since there are 3 different brands (A, B, and C), the calculation would be 3C2, which is equal to 3. Therefore, there will be 3 different pairs when selecting two different brands at a time.
You are correct! The number of different pairs that will result by selecting two different brands at a time can be calculated using a combination formula. In this case, since there are 3 different brands (A, B, and C), we can calculate the number of pairs by using the combination formula nCr, where n represents the total number of brands and r represents the number of brands we want to select at a time.
Using the combination formula, the number of pairs can be calculated as:
nCr = n! / (r! * (n-r)!)
In this case, n = 3 (number of different brands) and r = 2 (number of brands to be selected at a time):
3C2 = 3! / (2! * (3-2)!)
= 3! / (2! * 1!)
= 3 * 2 * 1 / (2 * 1)
= 6 / 2
= 3
Therefore, there will be 3 different pairs that result from selecting two different brands at a time: AB, AC, and BC.