Combinations a) Evaluate the value of each of the following permutations { 9C3, 10C4, 906 } n! Use a calculator, or use the formula C? r!(n-r)! FAn = (pl) / (rl (p-rll) 1
Combinations a) Evaluate the value of each of the following permutations { 9C3, 10C4, 906 } n! Use a calculator, or use the formula C? r!(n-r)! FAn = (pl) / (rl (p-rll) 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![QUESTION 20
Combinations
a) Evaluate the value of each of the following permutations
{
9C3,
10C4,
9C6
}
n!
Use a calculator, or use the formula cn
r!(n-r)!
{
C_r^n = [ (n!) / (r! (n-r)!) ]
}
b) How many combinations of 9 DVDS can be selected from a group of 15 DVDS?
c) How many different combinations of 5 baseball players and 4 basketball players can be selected from among a group of 11 baseball players and 10 basketball players?
d) There are 7 men and 5 women in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must
be 2 men and 2 women on the committee? How many ways can the committee be selected if there must be at least 2 women on the committee?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5475caed-d35f-41e0-b478-550beb79d539%2F07cd355d-5f5b-427e-a1c3-fb6249f64f7c%2Feu85g7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 20
Combinations
a) Evaluate the value of each of the following permutations
{
9C3,
10C4,
9C6
}
n!
Use a calculator, or use the formula cn
r!(n-r)!
{
C_r^n = [ (n!) / (r! (n-r)!) ]
}
b) How many combinations of 9 DVDS can be selected from a group of 15 DVDS?
c) How many different combinations of 5 baseball players and 4 basketball players can be selected from among a group of 11 baseball players and 10 basketball players?
d) There are 7 men and 5 women in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must
be 2 men and 2 women on the committee? How many ways can the committee be selected if there must be at least 2 women on the committee?
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