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Mathematics 8 Online
OpenStudy (anonymous):

need help .

OpenStudy (anonymous):

http://prntscr.com/7064ni

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

@iambatman @e.mccormick @dan815

OpenStudy (anonymous):

can u plz explain ?

OpenStudy (anonymous):

but its given that n1<n2<n3<n4<n5

OpenStudy (anonymous):

@perl here

ganeshie8 (ganeshie8):

@dan815

OpenStudy (abb0t):

Oh, maybe we should tag an expert who seems to answer many questions in mathematics @Nnesha

OpenStudy (anonymous):

i did abbot bt no response

rvc (rvc):

n1=2 n2=3 n3=4 n4=5 n5=6

OpenStudy (anonymous):

no rvc

OpenStudy (anonymous):

@Luigi0210

OpenStudy (anonymous):

@nincompoop

OpenStudy (luigi0210):

@Michele_Laino

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@alekos

OpenStudy (anonymous):

http://gamutech.com We'll help with questions you have there and there's a chat no lag like OS and you won't get suspended

OpenStudy (anonymous):

@butterflydreamer

OpenStudy (anonymous):

Hey

OpenStudy (anonymous):

how can I help You

OpenStudy (anonymous):

hi.here is the question http://prntscr.com/7064ni

OpenStudy (dan815):

aw yea homie this question

OpenStudy (anonymous):

what grade is this for

OpenStudy (anonymous):

12th grade .

OpenStudy (dan815):

okay ill show u a pattern and u can try to figure out some general stuff

OpenStudy (anonymous):

ok.@dan815

OpenStudy (dan815):

1+2+3+4+10=20 1+2+3+5+9 1+2+3+6+8 now u are onto the 3rd digit 1+2+4+5+8 1+2+4+6+7 .. . .

OpenStudy (anonymous):

i got it .thanks to all

OpenStudy (dan815):

everytime u raise a digit theres more restrictions coming in on the digits to the right

OpenStudy (dan815):

how about considering something like this

OpenStudy (dan815):

in order to find more logical methods to solving this a+b+c = 10 lets say the only restriction we impose is that a b c are not equal to each other, then there is one way of arrange a b c such that they are arranged in increasing to decreasing order so total number of ways divided by 3!

OpenStudy (dan815):

I think solving the case where a=/=b=/=c is a simpler case

OpenStudy (dan815):

where a b c are allwoed to be equal, then it can be solved easily with stars and bars method, now we need a good way to see what we can do about the case where a b c are not equal to each other

ganeshie8 (ganeshie8):

there seems to be something wrong with that method using stars and bars

OpenStudy (anonymous):

total no of ways is 7 .

OpenStudy (dan815):

we cant use stars and bars im pretty sure, unless we do it for the very basic case where a b c are allwoed to equal each other, and we can check to see the total possibilties available to us

ganeshie8 (ganeshie8):

\[a+b+c+d+e=20\] has \(\binom{19}{4}\) solutions in "positive integers" but \(5!\) does not divide \(\binom{19}{4}\)

ganeshie8 (ganeshie8):

Ahh we need to account for duplicates is it

OpenStudy (dan815):

ooh im not sure u can do 10 choose 4 like that , thats illegal because that actually allows 0s in there

OpenStudy (dan815):

i think the way to apply stars and bars with 4 separations in this case is umm slightly diff lemme try to see

OpenStudy (dan815):

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