2. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?

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

Answer numbers 2 to 4

C. Solve the following problems.
1. Suppose there are 10 points in a plane such that no three points are collinear. How many distinct triangles can be
found with 3 of these points as vertices?
2. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?
eS noo enw yram woh avsug 3 brie, 200gram 2 salge
3. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many committees can
be formed given each condition?
a. all sophomores
b. all seniors
c. 1 sophomore, 4 seniors
d. 3 sophomores, 2 seniors
4. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how many ways can they be
chosen?
Transcribed Image Text:C. Solve the following problems. 1. Suppose there are 10 points in a plane such that no three points are collinear. How many distinct triangles can be found with 3 of these points as vertices? 2. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed? eS noo enw yram woh avsug 3 brie, 200gram 2 salge 3. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many committees can be formed given each condition? a. all sophomores b. all seniors c. 1 sophomore, 4 seniors d. 3 sophomores, 2 seniors 4. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how many ways can they be chosen?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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,