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  3. 1. prove or disprove: if f : r ? r is injective an

1. Prove or disprove: if f : R ? R is injective and g :...

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Advance Math

1. Prove or disprove: if f : R ? R is injective and g : R ? R issurjective then f ? g : R ? R is bijective.

2. Suppose n and k are two positive integers. Pick a uniformlyrandom lattice path from (0, 0) to (n, k). What is the probabilitythat the first step is ‘up’?

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