Sword Play
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The local king, determined to defend his kingdom from that wicked ogre, sent his two eldest sons to the court swordsmith.
The swordsmith kept a supply of special ogrefighters (four daggers, three swords and two axes) locked in a chest. The two princes insisted on having the same kind of weapon.
How many weapons did the swordsmith have to take out of the chest to be sure he could meet the demands of the princes?
Four. The formula again: N + 1 (with N
representing the types of ogre-fighters). If the swordsmith
had pulled out two or three, he might have picked one of
each type. Since he had only three types of weapons, with
four he would have at least two of one type. He had three
types of weapons and so N = 3. 3 + 1 = 4.
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