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Mathematics 18 Online
OpenStudy (daenio):

The number of ways of selecting 3 boys AND 5 girls from a group of 7 boys and 8 girls.

OpenStudy (daenio):

@.Sam. @ash2326

OpenStudy (anonymous):

\[(C(7,3))*(C(8,5))\]

OpenStudy (ash2326):

Ok, so it's a problem of combination:) Do you know what's \[^aC_b\]??

OpenStudy (daenio):

I don't understand your question.

OpenStudy (ash2326):

Have you studied combination?

OpenStudy (daenio):

Oh, yes.

OpenStudy (ash2326):

So if I want to choose 2 items from 3 items, tell me the no. of ways?

OpenStudy (daenio):

3C2= 3. Therefore, 3 ways.

OpenStudy (ash2326):

Ok so choose 3 boys from 7 boys?

OpenStudy (daenio):

7C3= 35.

OpenStudy (ash2326):

Now choose 5 girls from 8 girls?

OpenStudy (daenio):

8C5=56. (girls)

OpenStudy (daenio):

35 x 56= 1,960.

OpenStudy (ash2326):

Now multiply these two, you'll get your answer

OpenStudy (ash2326):

oops:P Yeah:D you're right:D

OpenStudy (daenio):

Interesting. I thought there was more to it than that. Thanks!

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