as follows: 10 students in group A, seven in group B, six in group C, and seven in group D.

Suppose that Max and James are two particular students. What is the probability that they are both assigned to group B?

I was able to figure out that there were 3.996x10^15 possible arrangements of the groups

but I'm not sure how to assign the two particular students to a particular group. I got this by multiplying the choose functions for each group. as in (30 c 10)*(23 c 7)...etc

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