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Sagot :
Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.
The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 6 friends are chosen from a set of 9, hence:
[tex]C_{9,6} = \frac{9!}{6!3!} = 84[/tex]
84 different groups of 6 people are possible from the 9 remaining friends.
More can be learned about the combination formula at https://brainly.com/question/25821700
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