The Ties

Discrete Mathematics Level 1

Timothy's tie rack boasts 17 blue ties, 11 yellow, 9 orange, 34 green, and 2 violet, not sorted by colour.

The light bulb has burned out. Timothy cannot see what color the ties are.

How many ties does Timothy have to take to be sure he has at least two ties of the same color?

Source: Brain Maniacs

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