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Mathematics 23 Online
OpenStudy (anonymous):

Thanks guys!

OpenStudy (anonymous):

@mathslover if you have time?

OpenStudy (anonymous):

I answered 160

mathslover (mathslover):

How did you get 160?

OpenStudy (anonymous):

I forgot how but I think I counted two for every possible out of 20 people. If that made sense?

OpenStudy (anonymous):

actually I recounted it would be 40 right?

mathslover (mathslover):

No need to count actually. I think, it is 380 but I am not sure.

mathslover (mathslover):

@KingGeorge - Can you please confirm it? I did like this : \(\cfrac{20!}{(20-2)!} = \cfrac{20!}{18!} = 20 \times 19 = 380\)

OpenStudy (anonymous):

Ok i'm writing it down. Thanks

mathslover (mathslover):

Bison, am not sure yet. Wait for KG's response please.

OpenStudy (anonymous):

k

OpenStudy (kinggeorge):

@mathslover is correct. An alternative way to look at it would be to say that you have 20 choices for the captain, and 19 for the co-captain, so there are \(20*19\) choices total.

mathslover (mathslover):

Oh I feel better now :) Thanks @KingGeorge

OpenStudy (anonymous):

awesome! Thanks guys!!

mathslover (mathslover):

You're welcome :)

OpenStudy (kinggeorge):

No problem.

OpenStudy (anonymous):

I don't feel we do enough probability. So when it comes time to do the work I am not entirely clear on it all. Thankful for you guys here at Open Study!

OpenStudy (anonymous):

@mathslover @KingGeorge

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