A hearts player must pass 3 cards from his 13-card hand. How many choices of cards to pass does he have?

Question

A hearts player must pass 3 cards from his 13-card hand. How many choices of cards to pass does he have?
FIRST STEP:
Does the order matter?
If so: P(n,r)
If not: C(n,r)

Answer 1

choice doesn't matter



13C3=286



passing 2 hearts 3 clubs queen of spades

is the same as queen of spades 3 clubs 2 hearts

Answer 2

When passing cards in Hearts, order doesn't matter. So it's C(13,3) = 13 x 12 x 11 / (3 x 2 x 1)

Answer 3

choice doesnt matter



he has many choices

13*12*11 = 1716







1/13 * 1/12 * 1/11 (this is d probability)