AMC / AIME · Pigeonhole Principle · Easy

Pigeonhole Principle: What is the minimum number of people needed to guarantee that two were born on the same day of the week?

Forced collisions.

Try the problem

What is the minimum number of people needed to **guarantee** that two were born on the same day of the week?

Hint and answer

Concept to use

Basic form.

Hint

Seven weekdays → 7+17+1.

Answer

8

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