Question: For Discrete Computing, please answer using principle of mathematical induction. Thank you. Problem 3. (20 points) a. Prove by mathematical induction that a set with

For Discrete Computing, please answer using principle of mathematical induction. Thank you.

Problem 3. (20 points) a. Prove by mathematical induction that a set with n elements hasubets of size 2 whenever n(n 1) n is an integer greater than or equal to 2 b. Prove by mathematical induction that a set with n elements has " n(n-1)(n-2) subsets of size 3 whenever n is an integer greater than or equal to 3

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