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Mathematics 18 Online
OpenStudy (anonymous):

Evaluate P(5, 3).

OpenStudy (abb0t):

|dw:1368594782173:dw|

OpenStudy (anonymous):

?

OpenStudy (e.mccormick):

He is thinking P ans in Point, but this is probability?

OpenStudy (anonymous):

this is permutations

OpenStudy (e.mccormick):

\[P(n,r) = \frac{n!}{(n-r)!}\]

OpenStudy (anonymous):

I think it's the other formula: \[P(n,n)=n!\]

OpenStudy (e.mccormick):

They are not the same number.

OpenStudy (anonymous):

oh, k I'm lost

OpenStudy (e.mccormick):

In n permutations of n objects, it is n!. But here the objects and permutations are different.

OpenStudy (anonymous):

I understand the formula's but I'm lost on what to do next

OpenStudy (e.mccormick):

Know what the factorial ! is?

OpenStudy (anonymous):

nope, but I'm assuming the next step is\[\frac{ n! }{ (4-3)! }\]

OpenStudy (anonymous):

i mean 5, 3

OpenStudy (e.mccormick):

huh? What happened to the 5?

OpenStudy (e.mccormick):

Ah, kk.

OpenStudy (anonymous):

lol

OpenStudy (e.mccormick):

\(7!=7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1\)

OpenStudy (anonymous):

n!/2!

OpenStudy (abb0t):

oHhHhH.! my bad. Lol

OpenStudy (anonymous):

lol

OpenStudy (abb0t):

i don't rmr this. Lol

OpenStudy (e.mccormick):

Well, your n is 5, so... 5!/2! and the factors cancel, so that means there is a little bit you won't need to multiply out.

OpenStudy (anonymous):

oh...fail, lol I was confused on that part. Thanks, got it from there

OpenStudy (e.mccormick):

What happened to the red cat avatar?

OpenStudy (anonymous):

got bored with it

OpenStudy (e.mccormick):

Ah. Some change a lot... other seem to stay the same.

OpenStudy (anonymous):

indeed, but I was never the grumpy cat so I guess I changed back to being the same

OpenStudy (e.mccormick):

So you are the cute girl, but are not the grumpy cat. Hehe. Well, the grumpy cat was different, so I wondered.

OpenStudy (anonymous):

lol, I wish I was that sexy, but no grumpy cat is the one and only grumpy cat.

OpenStudy (e.mccormick):

There are a lot of "cute girl" avatars on here... most can image search to very public images.... which means they are being used by people other than the cute girl. LOL.

OpenStudy (anonymous):

hmm, interesting...makes you wonder if I'm really me? o-o or am I a man named bob with a beard, seven dogs, who hitch-hikes into town on the wednesdays...which one am I really? 0-0

OpenStudy (e.mccormick):

Depends.... do you like pancakes?

OpenStudy (anonymous):

YES I LIKE PANCAKES

OpenStudy (anonymous):

do you like waffles?

OpenStudy (e.mccormick):

Hmmm.... depends on the waffles.

OpenStudy (anonymous):

darn, you don't know the song

OpenStudy (e.mccormick):

\[P(n,r) = \frac{n!}{(n-r)!}\\ \implies P(n,r) = \frac{5!}{2!}\\ \implies P(n,r) = \frac{5\cdot 4\cdot 3\cdot 2}{2}\\ \implies P(n,r) = 5\cdot 4\cdot 3\\ \implies P(n,r) = 60\]Yah, not so hard when you know the !.

OpenStudy (anonymous):

so that at least means I'm not you...

OpenStudy (e.mccormick):

Ah, I do not know the song. Yep.

OpenStudy (anonymous):

and...wuuuuuuut?

OpenStudy (anonymous):

I got 20 as my answer

OpenStudy (e.mccormick):

If it was 5!/3! it would be 20.

OpenStudy (anonymous):

isn't it?

OpenStudy (e.mccormick):

\(2!=2\times 1\) and 1 never matters...

OpenStudy (anonymous):

oh, different question, lol

OpenStudy (e.mccormick):

\((n-r)=(5-3)\implies 2\) Ah, but a different question would have a different answer. So yah, the other question might be 20!

OpenStudy (anonymous):

i thought so...lol

OpenStudy (e.mccormick):

http://www.youtube.com/watch?v=HZdS4973Axw&noredirect=1 Well, now I know the song. =P

OpenStudy (anonymous):

lol, so i might be u now...i could be everyone and no one at the same time...like vendetta

OpenStudy (e.mccormick):

Ah, but can you explain the Cartesian Circle? Which as much as that sounds like math, is not!

OpenStudy (anonymous):

does that have anything to do with royalty?

OpenStudy (e.mccormick):

Descartes Ontological argument. Descartes, the man we named the Cartesian Plane after because of how he used it in math, was also a philosopher... in fact, he may never have considered himself a mathematician, Philosophy having been his primary reason for studying math.

OpenStudy (anonymous):

oh I've heard of him, forgot about itlast year

OpenStudy (e.mccormick):

Forget Descartes... ... .... How? =P He is such a foundation of our society that he is quoted every day! Cogito ergo sum! I think, therefore I am!

OpenStudy (anonymous):

it's easy to forget when it's knocked out of your head....a pan just fell from the cabinet and hit it's target...

OpenStudy (e.mccormick):

I see, so now the pan has taken a personal affront to Descartes and knocked him out of your head. Hmmm... You are Bob with a beard, seven dogs, who hitch-hikes into town on the wednesdays!

OpenStudy (anonymous):

o-o now I remember!

OpenStudy (e.mccormick):

hehehe

OpenStudy (anonymous):

who are you??

OpenStudy (e.mccormick):

I am me! That name there is actually mine.

OpenStudy (anonymous):

You own mccormick seasonings?? o-o

OpenStudy (e.mccormick):

Nope. But I am a Grandson of the Chariot by birth, if you know the meaning of McCormick.

OpenStudy (anonymous):

nope not at all,

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