nCn is __________ equal to 1.
always
sometimes
never
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OpenStudy (ash2326):
@Lunalovegood do you know how nCn is defined?
OpenStudy (anonymous):
How many different ways can you choose 3 marbles from a bag if there are 3 marbles in the bag?
OpenStudy (ash2326):
@SmoothMath that's a smooth answer:P
OpenStudy (anonymous):
Ahahaha thank ye kindly.
OpenStudy (anonymous):
no i don't @ash2326
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OpenStudy (ash2326):
Do you know what is n!
?
OpenStudy (anonymous):
no..our teacher just kind of sprung this on us with out us knowing what it is
OpenStudy (ash2326):
Ok, n! is defined as
\[n!=1 \times 2 \times 3 \times 4 \times 5....\times n\]
so
\[2!=1\times 2=2\]
\[3!=1\times 2 \times 3=6\]
Do you understand this?
OpenStudy (anonymous):
yes
OpenStudy (ash2326):
:D good, tell me what's 5! ?
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OpenStudy (ash2326):
@Lunalovegood are you trying?
OpenStudy (anonymous):
yes
OpenStudy (ash2326):
let me know if you get stuck, whenever you say we'll proceed with the problem
OpenStudy (anonymous):
i'm stuck
OpenStudy (ash2326):
Ok, did you use the definition of n! to find 5!?
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OpenStudy (anonymous):
yes,
OpenStudy (ash2326):
Where have you got stuck?
OpenStudy (anonymous):
ummm...well you could say like the first part
OpenStudy (ash2326):
\[5!=1 \times 2 \times 3 \times 4 \times 5\]
or
\[4!=5\times 4 \times 3 \times 3 \times 1\]
Do you get this?
OpenStudy (anonymous):
yes
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OpenStudy (ash2326):
Now you know
\[^A C_B =\frac{A!}{B!(A-B)!}\]
Can yo find 2C2
OpenStudy (anonymous):
@ash2326 , I will take over .:D
OpenStudy (ash2326):
@Lunalovegood I gotta go now. Sorry:(
My friend @shivam_bhalla will help you
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Ok. Yes @Lunalovegood , tell me what you got for 2C2
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OpenStudy (anonymous):
@Lunalovegood , are you there ??
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
did you find 2C2 or are you facing any problems ??
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
@Lunalovegood , yes for what ??
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OpenStudy (anonymous):
i' am facing problems
OpenStudy (anonymous):
See,
\[2C_2 = { 2! \over (2-2)! 2!}\]
Now @Lunalovegood , you should know that
0! = 1
Rest you can solve. Now tell me what is 2C2 = ??