A cola company decides to test 5 different brands of soft drinks. The company decides to compare each brand with the other brands by pairing them together. Determining the different pairs will result from selecting two different brands at a time would result in permutation

the different pairs will result from selecting two different brands at a time = 20 pairs

Step-by-step explanation:

Let's call the 5 brands; A, B, C, D, E

Now, these 5 brands are paired together.

Thus, we will use the Permutation method which is P (n, r) = n! / (n - r) !

So, the different pairs will result from selecting two different brands at a time would be;

P (5, 2) = 5! / (5 - 2) !

This gives; (5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 20