Prove that for all positive integers n gt 1 the inequality
Prove that for all positive integers n > 1, the inequality 2^n < 2nCn (2n choose n) holds.
The hint given is: create a one-to-one function f : P → Q between particular sets of sizes |P| = 2n, |Q| = 2nCn. This will prove |P|≤|Q|.
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