to prove the sum property of binomial coefficients: This property gives an easy

Question

to prove the sum property of binomial coefficients: This property gives an easy way to calculate Pascal's triangle to any depth, and hence compute a fair division of stakes in a game that has to be called off with n plays remaining. We suppose that players I and II have an equal chance of winning each play, and that I needs to win k of the remaining n plays to carry off the stakes. Show that the ratio of I's winning the stakes to that of II's winning is the sum property of the binomial coefficients also explains the presence of some interesting numbers in Pascal's triangle.

Explanation / Answer

why not you are using mathematical induction method u can solve it by this very easily.

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