May someone please explain this Algebra problem?
http://img338.imageshack.us/img338/8788/evalexpr.png
Is it 4,096? Please respond, thanks! :D
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OpenStudy (lgbasallote):
it's a frog in an ice cube
OpenStudy (anonymous):
.... May someone SERIOUSLY explain it? Thanks.
hartnn (hartnn):
\[ ^{n}P_k=\frac{n!}{(n-k)!}\]
u know how to evaluate n! ?
hartnn (hartnn):
and its not 4096
OpenStudy (anonymous):
I have no idea! Please, explain. :)
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hartnn (hartnn):
ok,1!= 1
2!=2*1=2
3!=3*2*1=6
4!=4*3*2*1=24
5!=5*4*3*2*1=120
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.
.
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n!=n*(n-1)*(n-1).....3*2*1
1st did u get this,then we move to P.
OpenStudy (anonymous):
Uhm... let's see... I'll try answering the problem with that. ^^
OpenStudy (anonymous):
would it be 32?
hartnn (hartnn):
the final answer 32 ? nopes.
hartnn (hartnn):
whats 8! ?
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OpenStudy (anonymous):
8
OpenStudy (anonymous):
Wait.. would it be 70?
hartnn (hartnn):
what?
n!=n*(n-1)*(n-1).....3*2*1
so
8!=8*7*6*5*4*3*2*1
ok?
OpenStudy (anonymous):
1,680! :D
hartnn (hartnn):
thats correct,u solved it, right?
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OpenStudy (anonymous):
of course, let's try another! :D
OpenStudy (anonymous):
19P^4
This is 3,876, right?
hartnn (hartnn):
19P4=93024
OpenStudy (anonymous):
Oops, more practice! Thanks for staying with me!
12P^10
OpenStudy (anonymous):
239,500,800?
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hartnn (hartnn):
12P10 is really biggggg!
OpenStudy (anonymous):
Yes, I'm aware.
OpenStudy (anonymous):
Hence my REAALLLY BIIIG answer! :)
OpenStudy (anonymous):
.... hello?
hartnn (hartnn):
yup,correct
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OpenStudy (anonymous):
Yay!
OpenStudy (anonymous):
Oh, here's another one that's different, but tricky!
hartnn (hartnn):
sorry for late responses,......my slow net speed...
OpenStudy (anonymous):
(7P6)(12P2)
OpenStudy (anonymous):
Is it 665,280?
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hartnn (hartnn):
thats correct,u are becoming expert! :D
OpenStudy (anonymous):
Yay! :D
OpenStudy (anonymous):
Some more! :D
OpenStudy (anonymous):
Hold on a sec
OpenStudy (anonymous):
9C8
is it 362,880?
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hartnn (hartnn):
9C8 is 9
notice its C now not P
OpenStudy (anonymous):
72
hartnn (hartnn):
what 72 ?
9C8=9C1=9
OpenStudy (anonymous):
My mind is silly.. Either 9... OR 43,046,721?
hartnn (hartnn):
where does 43,046,721 come from ??
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OpenStudy (anonymous):
english is my third language. i cant explain. :P
OpenStudy (anonymous):
it's 9, though?
hartnn (hartnn):
yup,its 9
u know the defination of nCr ?
OpenStudy (anonymous):
i gotta go soon. one more, I swear!
19c18
is it 19?
OpenStudy (anonymous):
or 19C18
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hartnn (hartnn):
yes its 19
remember
nC(n-1) is always n
so,9C8=9
19C18=19
119C118=119
ok?
OpenStudy (anonymous):
Ok, thank you very much! you were of big help!
OpenStudy (anonymous):
Mrs. Moyer’s class has to choose 4 out 12 people to serve on an activity committee. Does this situation represent a permutation or a combination?
It's combination, correct? :D
hartnn (hartnn):
'choose'== combination
'arrange'== permutation
generally
hartnn (hartnn):
so yes,correct :)
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