PROVE THAT n CHOOSE r + n CHOOSE r-1=n+1 CHOOSE r {Let n and r be positive integers such n ≥ r} COMB

Let n and r be positive integers such that n ≥ r. Prove that
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[anthonycheng]

another way of proof: by sum rule of counting. choosing r objects from (n+1) objects, consider two cases: a particular object must be chosen or a particular object must not be chosen. The two cases are mutually exclusive. Thus, (n+1 r) = (n r) + (n r-1).

[vernon]

Not hard but it's a long process and one can easily forget henceforth practice is needed .Thanks!

[justinbanda]

Nice one, with the ka music mu background #chile one