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Mathematics 18 Online
candygirl220:

How many ways can you listen to 3 songs from a CD that has 12 selections?

AngeI:

I believe SillyBilly got you covered on this one candygirl cx

candygirl220:

ok

sillybilly123:

Badly crafted question, should say something like: How many ways can you **choose** 3 songs from a CD that has 12 selections? And that's: \(\text{}^{12} C _ 3\) recognise that?!

candygirl220:

no

sillybilly123:

lol! so there are 12 ways to choose the first one, right?

candygirl220:

yes

sillybilly123:

and then 11 ways to choose the second? right?

candygirl220:

ok

sillybilly123:

and for the third song.....

candygirl220:

10 ways?

sillybilly123:

sure so that's 12 * 11 * 10

sillybilly123:

....which is \(\text{}^{12} P _ 3\), but you don't recognise that notation, so ignore that bit.... does that 12 * 11 * 10 sort you out??

candygirl220:

yes 1320

sillybilly123:

good. case closed?

candygirl220:

yes thanks

sillybilly123:

TU

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