Solution -
We have 6 males and 6 females. And in each group we have to choose one male and a female
For the first group we have (6,6) options, after choosing one pair we have (5,5) options, then (4,4) options, then (3,3) options, then (2,2) options, then (1,1) options.
So the first has 36 possibilities, 6 possible males, 6 possible females. 6 times 6 is 36.
After picking up one male and female, we have 5 males and 5 females, 25 possibilities and so on.
Total we have 36×25×16×4×1 = 57600.
