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Ilya [14]
3 years ago
10

A cola company decides to test five different brands of soft drink. The different brands have been labeled F, G, H, I, and J. Th

e company decides to compare each brand with the other brands by pairing them together. How many different pairs will result from selecting two different brands at a time?
A) 25

B) 20

C) 12

D) 10


PLEASEEE HELPPP!!!!!!!!!!!!!!!!
Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

The answer is B) 20

Because you have 5 brands and you combine each with the 4 others, so 5*4=20


GaryK [48]3 years ago
8 0

Answer:

D) 10

Step-by-step explanation:

For calculate the number of ways in which we can form pairs, we need to use the following equation:

nCk=\frac{n!}{k!(n-k)!}

Where nCk give as the number of ways in which we can form groups of k elements from a group of n element.

In this case we have 5 different brands and we need to conform groups of 2.

So, In this case n is equal to 5 and k is equal to 2, replacing this values on the equation of nCk, we get:

5C2=\frac{5!}{2!(5-2)!}

5C2= \frac{5*4*3*2*1}{(2*1)*(3**2*1)} =\frac{120}{12} =10

Then, we can form 10 different pairs of brands with a group of 5 different brands.

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