A class is divided into four groups of four students each. If a project is to be assigned to a team of three students,

A class is divided into four groups of four students each. If a project is to be assigned to a team of three students, none of which can be from the same group, what is the greatest number of distinct teams to which the project could be assigned?

(A) \(4^3\)
(B) \(4^4\)
(C) \(4^5\)
(D) \(6(4^4)\)
(E) \(4(3^6)\)

Answer: B

Source: Veritas Prep