5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected, in how many ways can 9 students be chosen from the group a) to form a committee? b) to take up 9 different posts in a committee.

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
icon
Concept explainers
Question

Please explain and show your complete solution:

Answer ONLY number 5.

 

4. Find the number of ways of arranging the 26 letters of the English alphabet in a
row such that there are exactly 5 letters between x and y.
5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to
be selected, in how many ways can 9 students be chosen from the group
a) to form a committee?
b) to take up 9 different posts in a committee.
6. How many diagonals does an n-gon have?
7. Two sets of parallel lines with p horizontal and q vertical lines intersect. Find the
number of rectangles formed.
Transcribed Image Text:4. Find the number of ways of arranging the 26 letters of the English alphabet in a row such that there are exactly 5 letters between x and y. 5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected, in how many ways can 9 students be chosen from the group a) to form a committee? b) to take up 9 different posts in a committee. 6. How many diagonals does an n-gon have? 7. Two sets of parallel lines with p horizontal and q vertical lines intersect. Find the number of rectangles formed.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamentals of Algebraic 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.
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,