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# System prepended metadata

title: CS212 in-class exercise 02/17

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# CS212 in-class exercise 02/17

# Problem 1

Prove that: if a group of people played tennis, it is always the case that an even number of people have played an odd number of games.

# Problem 2

Prove that: a graph with maximum degree at most k is (k + 1) colorable.

*Hint: One approach is by induction*