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"

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"

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

$$\binom{4}{1}\times \binom{48}{4}$$

anonymous · Answer

typo gone

dtan5457 · Answer

why pick 5?

anonymous · Answer

because that is what you asked right?`

anonymous · Answer

how many five card hands....

dtan5457 · Answer

lol right, my bad

dtan5457 · Answer

so the first one is 1712304

dtan5457 · Answer

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

anonymous · Answer

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

anonymous · Answer

multiply those together 
then add to the other one