Math New Drill : SNS00-0804-L2 Make a group of 5 persons

There are 12 students who are selected each of boy and girl from 6 classes. 
I would like to make a group of 5 persons from these 12 students without putting students of the same class in the group. 
How many ways of combination of the group to be made are there?











Answer
192 ways

Solution
As for method of determining the class into a group , there are 6 ways to select 5 classes from 6 classes. 
Since either boy or girl would be selected from each 5 class, 2 × 2 × 2 × 2 × 2 = 32 ways. Above all there are 6 × 32 = 192 ways altogether.