2. Let n E N and S {0,1,2,...,2n – 1,2n}. Suppose that f : S → S is a bijection. Prove that there is some even integer k E S such that f (k) is also even. (State clearly any results you use.)

Can you help me with this question please, Thank you!2. Let n E N and S<br>{0,1,2,...,2n – 1,2n}. Suppose that f : S → S is a bijection.<br>Prove that there is some even integer k E S such that f (k) is also even. (State<br>clearly any<br>results<br>you use.)<br>

Extracted text: 2. Let n E N and S {0,1,2,...,2n – 1,2n}. Suppose that f : S → S is a bijection. Prove that there is some even integer k E S such that f (k) is also even. (State clearly any results you use.)

Jun 04, 2022
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