How many cards must be chosen from a deck to guarantee that at least
- two aces of two kinds are chosen.
- two aces are chosen.
- two cards of the same kind are chosen.
- two cards of two different kinds are chosen.
- $50, 50, 14, 5$
- $51, 51, 15, 7$
- $52, 52, 14, 5$
- $51, 51, 14, 5$