AMC / AIME · Pigeonhole Principle · Easy

Pigeonhole Principle: Balls are placed into math identical boxes (each box can hold many). What is the minimum number of balls to guarantee so

Forced collisions.

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Balls are placed into 44 identical boxes (each box can hold many). What is the minimum number of balls to **guarantee** some box has at least 22 balls?

Hint and answer

Concept to use

Basic form.

Hint

One per box in the worst case, then one more.

Answer

5

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