There are 10 men and 8 women in a department (a) In how many ways can the 10 men and 8 women be arranged in a row if three of the men (not any three, specified three) would like to stand together (i.e., no one else is allowed to stand in between any two of them) and none of the other 7 men would want to stand next to another man. (b) In how many ways can the 10 men and 8 women be arranged in row if no two women would like to stand next to each other (i.e., there should be at least one man standing in between any two women). (c) In how many ways can a committee consisting of 6 members be formed if the committee has to have at least three women.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Help me fast so that I will give good rating.....

4. There are 10 men and 8 women in a department
(a) In how many ways can the 10 men and 8 women be arranged in a row if three of the men (not any three, specified
three) would like to stand together (i.e., no one else is allowed to stand in between any two of them) and none of
the other 7 men would want to stand next to another man.
(b) In how many ways can the 10 men and 8 women be arranged in row if no two women would like to stand next to
each other (i.e., there should be at least one man standing in between any two women).
(c) In how many ways can a committee consisting of 6 members be formed if the committee has to have at least three
women.
Transcribed Image Text:4. There are 10 men and 8 women in a department (a) In how many ways can the 10 men and 8 women be arranged in a row if three of the men (not any three, specified three) would like to stand together (i.e., no one else is allowed to stand in between any two of them) and none of the other 7 men would want to stand next to another man. (b) In how many ways can the 10 men and 8 women be arranged in row if no two women would like to stand next to each other (i.e., there should be at least one man standing in between any two women). (c) In how many ways can a committee consisting of 6 members be formed if the committee has to have at least three women.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,