Question 1188892: A math teacher will split her class of 15 students into three groups with five
students in each group. One group will go for online class, a second group will have the
modular class and the third group will be a face to face class. In how many ways can the
teacher form the groups for online, modular and face to face class?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
To expand a bit on the response from tutor @ikleyn....
Choose 5 of the 15 for the online class in C(15,5) ways.
Then choose 5 of the remaining 10 for the modular class in C(10,5) ways.
Then choose 5 of the remaining 5 for the face to face class in C(5,5) ways.
The total number of ways is C(15,5)*C(10,5)*C(5,5).
Of course, since C(5,5) is equal to 1, the answer can be expressed as just C(15,5)*(C(10,5).
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