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(a) Compute the sums of the squares of Rows 1-4 of Pascal's Triangle. That is, compute:

Do these sums appear anywhere else in Pascal's Triangle?

(b) Guess at an identity based on your observations from part (a). Your identity should be of the form
(You have to figure out what "something" is.) Test your identity for  using your results from part (a).

(c) Prove your identity using a committee-forming argument.

(d) Prove your identity using a block-walking argument.


Thanks for help (preffered quickly).


P.S.  I already got a,b, and d, i just need help with C. My equation is $C(n,0)^2$,$C(n,1)^2$,$C(n,2)^2$...$C(n,n)^2$=$C(2n,n)$ try to raed without latex, sorry :)

 Jul 31, 2019

We are not interested in doing your homework for you.

 Nov 27, 2019

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