AMC / AIME · Pigeonhole Principle · Easy

Pigeonhole Principle: What is the minimum number of people needed to guarantee that two share the same zodiac sign (there are math signs)?

Forced collisions.

Try the problem

What is the minimum number of people needed to **guarantee** that two share the same zodiac sign (there are 1212 signs)?

Hint and answer

Concept to use

Basic form.

Hint

Twelve holes → thirteenth pigeon forces a collision.

Answer

13

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