Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

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

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)

OpenStudy (anonymous):

?

OpenStudy (anonymous):

So

OpenStudy (anonymous):

help :(

OpenStudy (anonymous):

X=3 2y+x=3

OpenStudy (anonymous):

-.-

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

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...?

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)

OpenStudy (anonymous):

...

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!