A number of ties are individually packaged in unmarked boxes. What is the maximum number of boxes that must be opened if

[Vincen]

A number of ties are individually packaged in unmarked boxes. What is the maximum number of boxes that must be opened if boxes are opened at random until there are three open boxes containing ties of the same color?

(1) There are five distinct colors of ties.

(2) There are 25 boxes.

[spoiler]OA=A[/spoiler]

Source: Veritas Prep