2024 AMC 10A Problem 9

In how many ways can 66 juniors and 66 seniors form 33 disjoint teams of 44 people so that each team has 22 juniors and 22 seniors?
(A)  720\text{(A)}\;720(B)  1350\text{(B)}\;1350(C)  2700\text{(C)}\;2700(D)  3280\text{(D)}\;3280(E)  8100\text{(E)}\;8100