Respuesta :
From the question above, we can know the groups of 2 customers that are possible to be chosen to receive a special gift is 1,275 groups.
How to find possibility of combination?
To find possibility of combination like in the question above, we can use binomial coefficient formula. The binomial coefficient is about two things with two result. The formula of binominal coefficient is [tex]\binom{n}k} = \frac{n!}{k! (n - k)!}[/tex]
Anyone of the 51 can be chosen first and any of the remaining 50 can be chosen second. Or in which 2 of the 51 can be chosen ⇒ 51 x 50
But, for any given group of 2, the number of different orders in which they could have been chosen is 2 x 1.
So, the numbers of different combination of 2 chosen from 51 is:
[tex]\binom{51}2} = \frac{51 x 50}{2 x 1}[/tex]
[tex]\binom{51}2} = \frac{2,550}{2} = 1,275[/tex]
Learn more about Binomial Coefficient here: https://brainly.com/question/2745427
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