Question

Let A={1,2,3,...,15), B = {4,5,6,10).C={2,3,4,...,9)
Find the cardinality of A-(BOC).
(a) {1,2,3,10,11,12,15)
(b) {1,2,3,12,13,14,15)
(c) {1,2,3,10,11,12,13,14,15}
(d) {4,5,6,7,8,931​

Answer 1

Answer:

$( + 522529 + { \\ }^{2}$

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Answer 2

Concept:

Set theory is the branch of mathematical logic that studies sets. Set is the collection of objects. Subset means that a particular set belong to a larger set.

Sets is the well defined collection of objects and elements.

It has several operations like union, common, universal etc.  

Given:

We are given that:

A = {1, 2, 3,..., 15), B = {4, 5, 6, 10) and C = {2, 3, 4,..., 9)

Find:

We need to find the cardinality of A-(BOC).

Solution:

First, we will find (BOC):

(BOC)={2, 3, 4, 5, 6, 7, 8, 9, 10}

Now, we will find A-(BOC):

A-(BOC) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} - {2, 3, 4, 5, 6, 7, 8, 9, 10}

={1, 2, 3, 12, 13, 14, 15}

Therefore, option (B) {1, 2, 3, 12, 13, 14, 15} is the correct option.

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