<u>330 ways</u><u> can the instructor choose the first group of four </u><u>education students.</u>
What is probability in math?
- Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
- We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is = n! / r!(n-r)!
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.
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
Therefore, There are 330 ways that the instructor can choose 4 students for the first group.
Learn more about probability
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