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Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and Mark), eat only at restaurants A, B or C and there are the following restrictions:i.             Fran, the only day she eats at a restaurant is Wednesday and on the other days she eats at home.ii.            Gladys and Karl can never go to a restaurant together.iii.            Helen won't go to a restaurant unless Fran also goes.iv. John and Mark will not go to the same restaurant together unless Gladys also goes.v. Karl will never go to restaurant B.b. What is the maximum number of classmates who can go to eat together at one of the three restaurants on Tuesday (justify your answer)?i. 3ii. 4iii. 5iv. 6v. 7

Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and Mark), eat only at restaurants A, B or C and there are the following restrictions:i.             Fran, the only day she eats at a restaurant is Wednesday and on the other days she eats at home.ii.            Gladys and Karl can never go to a restaurant together.iii.            Helen won't go to a restaurant unless Fran also goes.iv. John and Mark will not go to the same restaurant together unless Gladys also goes.v. Karl will never go to restaurant B.b. What is the maximum number of classmates who can go to eat together at one of the three restaurants on Tuesday (justify your answer)?i. 3ii. 4iii. 5iv. 6v. 7

Advanced Engineering Mathematics
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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Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and Mark), eat only at restaurants A, B or C and there are the following restrictions:
i.             Fran, the only day she eats at a restaurant is Wednesday and on the other days she eats at home.
ii.            Gladys and Karl can never go to a restaurant together.
iii.            Helen won't go to a restaurant unless Fran also goes.
iv. John and Mark will not go to the same restaurant together unless Gladys also goes.
v. Karl will never go to restaurant B.
b. What is the maximum number of classmates who can go to eat together at one of the three restaurants on Tuesday (justify your answer)?
i. 3
ii. 4
iii. 5
iv. 6
v. 7

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