There are 22 students in a class. The professor will divide the class into 4 groups. Group 1 and 2 have 5 members each whilst Group 3 and 4 have 6. Given that the teacher forms the group at random, find the probabilities of :
A = event where Paula, Trina, Gia all belong in Group 1
B = event where Paula and Trina are in Group 1
C = event where the 2 students, Paula and Trina belong in the same group
The Attempt at a Solution
I'm not sure how to work this problem since the number of people in each group is different? I'm confused so can someone please help me?
Group 1 = (22C5)
Group 2 = (17C5)
Group 3 = (12C6)
Group 4 = (6C6)
Do I multiply these to get all possible groups?