A professor was a guest lecturer at a logic course for senior executives of major oil companies. She selected six male participants for this demonstration.
The professor placed fifteen 10 cent coins and fifteen 5 cent coins in six tin cups such that each cup contained the same number of coins but a different amount of money. She made six labels showing correctly how much money each cup held, but attached to each cup an incorrect label. She explained the situation to the six participants and gave a cup to each. She asked each participant in turn to feel the size of as many coins as he wanted in his own cups and announce something true about them. The only evidence each participant had was the size of the coins he felt, the incorrect label of his own cup, and the statements made by those who preceded him.
* The first man said: "I feel four coins which are not all the same size; I know that my fifth coin must be 10 cent".
* The second man said: "I feel four coins which are all the same size; I know that my fifth coin must be 5 cent".
* The third man said: "I feel two coins, but I shall tell you nothing about their size; I know what my other three coins must be."
* The fourth man said: "I feel one coin; I know what my other four coins must be."
Determine how the remaining two cups were labelled and what the total value of the money in those two cups were.
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A professor was a guest lecturer at a logic course for senior executives of major oil companies. She selected six male participants for this demonstration.
The professor placed fifteen 10 cent coins and fifteen 5 cent coins in six tin cups such that each cup contained the same number of coins but a different amount of money. She made six labels showing correctly how much money each cup held, but attached to each cup an incorrect label. She explained the situation to the six participants and gave a cup to each. She asked each participant in turn to feel the size of as many coins as he wanted in his own cups and announce something true about them. The only evidence each participant had was the size of the coins he felt, the incorrect label of his own cup, and the statements made by those who preceded him.
* The first man said: "I feel four coins which are not all the same size; I know that my fifth coin must be 10 cent".
* The second man said: "I feel four coins which are all the same size; I know that my fifth coin must be 5 cent".
* The third man said: "I feel two coins, but I shall tell you nothing about their size; I know what my other three coins must be."
* The fourth man said: "I feel one coin; I know what my other four coins must be."
Determine how the remaining two cups were labelled and what the total value of the money in those two cups were.
no guesses please, justify.
Thanks
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