Let S be the universal set, where:S = {1,2, 3, ..., 23, 24, 25}Let sets A and B be subsets of S, where:Set A = {17, 19, 20, 21, 23, 25}Set B = {1, 2, 4, 5, 7, 8, 13, 14, 15, 21, 22, 25}Set C = {8, 9, 10, 11, 15, 16, 23, 24}Find the number of elements in the set (Anc)N B°n[(An C) N B°] =

Answered: Let S be the universal set, where: S =…

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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Let S be the universal set, where:
S = {1,2, 3, ..., 23, 24, 25}
Let sets A and B be subsets of S, where:
Set A = {17, 19, 20, 21, 23, 25}
Set B = {1, 2, 4, 5, 7, 8, 13, 14, 15, 21, 22, 25}
Set C = {8, 9, 10, 11, 15, 16, 23, 24}
Find the number of elements in the set (Anc)N B°
n[(An C) N B°] =

Expert Solution

Step 1

In A $\cap$ C, there is only one element namely 23, because rest of the members in set A (17,19,20,21,25) do not belong to the set C, and hence there is only one common element among A and C sets.

Now, B^c has elements which are in S but not in B, so:

B^c = {3,6,9,10,11,12,16,17,18,19,20,23,24}

Now, B^c contains 23 too.

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