Mathematics
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OpenStudy (anonymous):
Evaluate 9P8
A.
1
B.
72
C.
181,440
D.
362,880
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OpenStudy (anonymous):
@nincompoop
OpenStudy (anonymous):
okay,
eh,
its
like
small 9 P small 8
OpenStudy (ash2326):
\[^9P_8\]
\[\frac{(9!)}{(9-8)!}\]
Can you fin now?
OpenStudy (ash2326):
@selenamalter Do you know the relation of permutations?
\[^AP_B=\frac{A!}{(A-B)!}\]
OpenStudy (anonymous):
um, not really, what would the next step be
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OpenStudy (ash2326):
Do you know how factorial is calculated?
\[n!=??\]
OpenStudy (anonymous):
um,
im trying here
OpenStudy (anonymous):
still confused
OpenStudy (ash2326):
Okay, I'll explain you this
\[1!=1\]
\[2!=1\times 2\]
\[3!=1\times 2\times3\]
and so on
\[n!=1.2.3....(n-1).n\]
Do you get this?
OpenStudy (anonymous):
oh, um ueah a little more,
so its going to be
1
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OpenStudy (ash2326):
We have
\[\frac{9!}{(9-8)!}=\frac{9!}{1!}\]
OpenStudy (ash2326):
so what would you get?
OpenStudy (anonymous):
72
OpenStudy (ash2326):
9!=1*2*3*4*5*6*7*8*9
OpenStudy (anonymous):
181440
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OpenStudy (anonymous):
WAIT
362,880
OpenStudy (ash2326):
9!=2*3*4*5*6*7*8*9
9!=6*4*5*6*7*8*9
9!=24*5*6*7*8*9
9!=120*6*7*8*9
9!=720*7*8*9
9!=5040*8*9
9!=40320*9
9!=362880
@selenamalter You're right
OpenStudy (anonymous):
YAYAYAYAY