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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

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
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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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.
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