Find the number of possible 5-card hands that contain the cards specified. These cards are taken from a standard 52-card deck:
At most 1 ace
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OpenStudy (anonymous):
that doesn't really answer my question..
OpenStudy (anonymous):
gee thanks
OpenStudy (anonymous):
dude go away
OpenStudy (anonymous):
anyway, the question is to find the number of 5-card hands that contain at most, 1 ace
OpenStudy (sirm3d):
either the 5-card hand has
(a) exactly one ace (how many possibilities), or
(b) no ace at all (how many possibilites)
add the results you get in (a) and (b)
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
So
OpenStudy (anonymous):
help :(
OpenStudy (anonymous):
X=3
2y+x=3
OpenStudy (anonymous):
-.-
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OpenStudy (anonymous):
Is substitution
OpenStudy (anonymous):
cool
OpenStudy (anonymous):
Can you answer it
OpenStudy (sirm3d):
(a) has exactly one ace
choose one among 4 aces. That's 4C1
choose 4 cards that are not an ace. That's 48C4
by multiplication principle, the answer in (a) is \[ 4C1\times 48C4\]
OpenStudy (anonymous):
that doesn't give me the right answer
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OpenStudy (sirm3d):
that's only for (a)
you also have to compute (b), then add the two answers to get the desired answer.
OpenStudy (anonymous):
and how is (b) done ?
OpenStudy (anonymous):
How many cards aren't aces? Choose 5 from that.
OpenStudy (anonymous):
48
OpenStudy (sirm3d):
choose 5 among 48, and that would be...?
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OpenStudy (anonymous):
I don't know I'm so confused..
OpenStudy (sirm3d):
check ^ my solution in (a). i know you can find the correct answer in (b)