This exercise can be solved using combinations even though the problem statement will not always include a form of the
word "combination" or "subset."
A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red),
thirteen spades (all black), and thirteen clubs (all black). Of the 20,358,520 different six-card hands possible, decide how
many would consist of the following.
(a) all diamonds
(b) all red cards
(c) all aces
(a) There are
ways to have a hand with all diamonds.
(Simplify your answer.)