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Mathematics 13 Online
OpenStudy (anonymous):

The numbers in the row of Pascal's triangle corresponding to 5 tosses of a coin must sum to 32.

OpenStudy (savvy):

so again, what's the question....???

OpenStudy (anonymous):

how do I explain whether it is false or true?

OpenStudy (across):

All you have to say is that "it follows from the definition of Pascal's triangle that its fifth row sums up to 32." :P

OpenStudy (savvy):

for n trials, the sum of the terms is \[2^{n}\]

OpenStudy (anonymous):

thanks everyone!

OpenStudy (savvy):

it could be easily proven....the different terms in the pascals triangle for 'n' trials are the coefficients of x^0,x^1 and so on in the expansion of \[(1+x)^{n}\] and to eliminate all terms of x and get the coefficients(as sum) just put x=1... which obviously mean \[2^{n}\]

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