choose one card from each of the four suits in a standard deck of playing cards.

Question

how many ways can four queens be chosen?

Answer 1

If the order doesn't matter (Qspades, Qhearts, Qclubs, Qdiamonds = Qhearts, Qspades, Qclubs, Qdiamonds), then there's only 1 way because you're choosing exactly 4 cards and there are exactly 4 queens.

If the order does matther (Qspades, Qhearts, Qclubs, Qdiamonds does not = Qhearts, Qspades, Qclubs, Qdiamonds), then there are 4 * 3 * 2 * 1 = 24 ways because there are 24 ways to arrange the different queens among themselves.  There are 24 ways to shuffle a deck of 4 different cards.