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Q1

m, n are natural numbers (which include zero for the sake of this question) and n =/= 0, then there are natural numbers q and r such that m= qn + r and r < n. Use the Well-Ordering Principle to prove this fact.

Q2

There are 51 students in a class. Prove there are at least two students with exactly the same number of friends.

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# 2 tough questions

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