In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are three couples in the group and each couple must sit together? (b) none of the ladies must be adjacent to each other? The Science Club in Davi School, Inc. is composed of 6 freshmen, 5 sophomores, 2 juniors and 4 seniors. They wanted to join a quiz contest where a school can be represented by a team of 7 students. If the club wanted to create a team which all levels have a representative, how many teams they can form?

In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are three couples in the group and each couple must sit together? (b) none of the ladies must be adjacent to each other? The Science Club in Davi School, Inc. is composed of 6 freshmen, 5 sophomores, 2 juniors and 4 seniors. They wanted to join a quiz contest where a school can be represented by a team of 7 students. If the club wanted to create a team which all levels have a representative, how many teams they can form?

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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Question

PROVIDE STEP-BY-STEP SOLUTIONS TO THE FOLLOWING QUESTIONS CLEARLY.

In how many ways can seven gentlemen
and three ladies be seated
in a round table if:
(a) there are three couples in the group
and each couple must sit together?
(b) none of the ladies must be adjacent to
each other?
The Science Club in Davi School, Inc. is
composed of 6 freshmen, 5 sophomores, 2
juniors and 4 seniors. They wanted to join
a quiz contest where a school can be
represented by a team of 7 students. If the
club wanted to create a team which all
levels have a representative, how many
teams they can form?

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