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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
icon
Related questions
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?
Transcribed Image Text: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?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning