(a) There are 33 students in this class. How many ways are there to split the class into two groups that are as balanced as possible?

Question

Combination or permutation

Answer 1

As balanced as possible means 16 & 17 in the two groups, respectively.

₃₃C₁₆•₁₇C₁₇ might be a good answer. Which equals just ₃₃C₁₆.