Answer:
35/12
Step-by-step explanation:
3-2/3/4/5
the lcm of 3 and1
9-2/3/4/5
7/3/4/5
7/3 multiply by 5/4
=7 multiply by 5/ 3 multiply by 4
which is 35/12
This is a combination problem.
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
There are 330 ways that the instructor can choose 4 students for the first group
(13+14)+11= 13+(14+11)
Associative property of addition
