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.a. If six of the classmates eat together at one of three restaurants on a Wednesday, which of the following will be absent (justify your answer)?i. Gladysii. Heleniii. Johniv. Karlv. Leonard

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.a. If six of the classmates eat together at one of three restaurants on a Wednesday, which of the following will be absent (justify your answer)?i. Gladysii. Heleniii. Johniv. Karlv. Leonard

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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