Respuesta :
There are 330 ways that the instructor can choose 4 students for the first group.
What is a combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
[tex]_n C_r=\frac{n !}{r ! (n-r) !}[/tex]
where: n = number of choices ; r = number of people to be chosen.
This is the formula i used because the order is not important and repetition is not allowed.
Given:
12 students
3 groups consisting of 4 students.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330 ways
Hence, There are 330 ways that the instructor can choose 4 students for the first group.
To learn more about combination from the given link:
https://brainly.com/question/8706772
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