Problem 2  A plethora of pigeons and a dearth of holes. i) A child places 0 or more pennies in her piggy bank each day, for 15 consecutive days. She then cracks open the piggy bank and finds that she has accumulated one dollar. (1 dollar = 100 pennies.) Explain how we know that on at least two days she placed the same number of pennies in her piggy bank. ii) Five friends are at a party. Show that at least two people shook the same number of han

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