

Subj:.Coins
In A Pocket (S662)
From: Lubin100 on 9/16/2009 Source: Problematical Recreations ^10 Litton Industries in 1968, Beverly Hills, CA Photo from IOffer.com...

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If Mr.
Lubin has one coin in his pocket, could he have
exactly one dollar in change? Yes, a dollar coin. If Mr. Lubin has two coins in his pocket, could he have exactly one dollar in change? Yes, two half dollars. If Mr. Lubin has three coins in his pocket, could he have exactly one dollar in change? Yes, one half dollar and two quarters. If Mr. Lubin has four coins in his pocket, could he have exactly one dollar in change? Yes, four quarters. If Mr. Lubin has five coins in his pocket, could he have exactly one dollar in change? Yes, one half dollar, one quarter. two dimes, and a nickel. If Mr. Lubin has one hundred and one coins in his pocket, could he have exactly one dollar in change? No. What is the smallest number of American coins Mr. Lubin could have in his pocket such that they could not total one dollar? . . . . ..
THE SOLUTION
By quick trial, 77
is found to be the smallest number.

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