In the Dark

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Planning to roam the countryside and prey upon its
defenseless people, the ogre reached into his dark
closet. There he had stored four six-league boots and
eight seven-league boots. How many boots did he have
to pull out of the closet to make sure he had a pair that
matched?

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    Three. If the ogre pulled out only two
    boots, he might have had to wear one six-league and one
    seven-league boot. He took out three because at least two
    of the three would have to be the same type. The formula:
    N + 1 (N represents the number of types). 2 + 1 = 3.

    rahul Guru Answered on 17th July 2015.
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