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Mathematics 41 Online
OpenStudy (lovelyanna):

Brad has 7 autographed baseballs. His display case only holds 5 baseballs. How many different displays can Brad make? A. 21 B. 2520 C. 5040 D. 840

OpenStudy (anonymous):

I think it A 21 7c3

OpenStudy (anonymous):

sorry 7c5

OpenStudy (math&ing001):

Does the order matter ?

OpenStudy (lovelyanna):

I don't get how he got 21, and I'm not sure...

OpenStudy (lovelyanna):

Not sure about the order

OpenStudy (anonymous):

|dw:1395426853966:dw| and solve it in combinations

OpenStudy (math&ing001):

If the order in which they are displayed matters then we count the number of arrangements : 5A7 = 2520 If f the order in which they are displayed doesn't matters then we count the number of combinations: 5C7=21

OpenStudy (lovelyanna):

Hmm... I see. I'll do the first one were the display matters. Thanks! Can you help me with 1 more?

OpenStudy (lovelyanna):

How many ways can an employer send 3 employees to a job fair if she has 11 employees? A. 40,320 B. 990 C. 6,652,800 D. 165 Is it D?

OpenStudy (lovelyanna):

@jigglypuff314

OpenStudy (lovelyanna):

I'm gonna reload, my computer is glitching

OpenStudy (lovelyanna):

So, if the display doesn't matter in the second on, it's B? :/

OpenStudy (math&ing001):

You use the number of combinations \[C _{11}^{3}=165\] Your answer is correct !

OpenStudy (lovelyanna):

one*

OpenStudy (lovelyanna):

Hooray :D Thanks

OpenStudy (math&ing001):

And for the first if the display doesn't matter it's A :))

OpenStudy (lovelyanna):

Okie dokie :) Thanks!

OpenStudy (math&ing001):

Anytime !

OpenStudy (lovelyanna):

Thanks for the medal ^.^ ♥

OpenStudy (anonymous):

For the Brad question...order matters because you only have 7 baseballs and 5 display cases. This is a permutation and the answer is C. 2520

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