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
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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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