Question

Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.


"At most, 1 queen"

Answer 1

at most one queen means "one queen or no queens"

Answer 2

no queens:
there are 48 not queens, you pick five \[\binom{48}{5}\] for that one

Answer 3

\[\binom{4}{1}\times \binom{48}{4}\]

Answer 4

typo gone

Answer 5

why pick 5?

Answer 6

because that is what you asked right?`

Answer 7

how many five card hands....

Answer 8

lol right, my bad

Answer 9

so the first one is 1712304

Answer 10

for the 2nd one, not sure how you got those numbers though

Answer 11

one queen out of 4, 4 choices
then the remaining 4 cards are not queens \(\binom{48}{4}\) possibilities

Answer 12

multiply those together
then add to the other one