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MathNet 2012 Question 34

Math Olympiad Vault · MathNet 2012

Question 34

Catarina has 210 cards numbered from 1 to 210.

a) How many cards have a number divisible by 3?

b) How many have an even number not divisible by 3?

c) What is the smallest number of cards Catarina must choose at random to be certain that at least two have 2 or 3 as a common divisor?