number in Z+is written on the back of each of three cards. The numbers are not necessarily different but the sum of the three numbers is 14. Each card is flipped backwards so that the number cannot be seen by anyone. Carter, Mars, and Mann each select one of the cards, being careful not to let the other two see the number that is on the card. Carter says, after looking at his card, “I know that Mars and Mann have different numbers.” Mars then says, “I already knew that thet hree cards had different numbers.” At this point, Mann confidently exclaims, “I now know all thet hree numbers!” What were the numbers and who had which number?
number in Z+is written on the back of each of three cards. The numbers are not necessarily different but the sum of the three numbers is 14. Each card is flipped backwards so that the number cannot be seen by anyone. Carter, Mars, and Mann each select one of the cards, being careful not to let the other two see the number that is on the card. Carter says, after looking at his card, “I know that Mars and Mann have different numbers.” Mars then says, “I already knew that thet hree cards had different numbers.” At this point, Mann confidently exclaims, “I now know all thet hree numbers!” What were the numbers and who had which number?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A number in Z+is written on the back of each of three cards. The numbers are not necessarily different but the sum of the three numbers is 14. Each card is flipped backwards so that the number cannot be seen by anyone. Carter, Mars, and Mann each select one of the cards, being careful not to let the other two see the number that is on the card. Carter says, after looking at his card, “I know that Mars and Mann have different numbers.” Mars then says, “I already knew that thet hree cards had different numbers.” At this point, Mann confidently exclaims, “I now know all thet hree numbers!” What were the numbers and who had which number?
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