fficient of akbN-k in the expansion of (a + b)N and, for t symbol is called a binomial coefficient. It is not hard to integer k in the interval [0, N], (N' N! k k!(N – k)! ext, subsets are sometimes called combinations, altho use that term much. (a) Evaluate the binomial coeffici (4) and (4 (h) How many different subsets of size 2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The number of subsets of a given size. The symbol (), pro-
nounced "N choose k," denotes the number of different k-element sub-
sets that may be identified within a set of N elements. This number is
also the coefficient of akbN-k in the expansion of (a + b)N and, for this
reason, the symbol is called a binomial coefficient. It is not hard to see
that for any integer k in the interval [0, N],
N!
%3D
k
k!(N – k)!
In this context, subsets are sometimes called combinations, although
we will not use that term much. (a) Evaluate the binomial coefficients
), (), (), C), and (). (b) How many different subsets of size 2 may
be identified within a set consisting of 4 units.
Transcribed Image Text:The number of subsets of a given size. The symbol (), pro- nounced "N choose k," denotes the number of different k-element sub- sets that may be identified within a set of N elements. This number is also the coefficient of akbN-k in the expansion of (a + b)N and, for this reason, the symbol is called a binomial coefficient. It is not hard to see that for any integer k in the interval [0, N], N! %3D k k!(N – k)! In this context, subsets are sometimes called combinations, although we will not use that term much. (a) Evaluate the binomial coefficients ), (), (), C), and (). (b) How many different subsets of size 2 may be identified within a set consisting of 4 units.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman