Question

If n(A) = 10 and n(B) = 5, then n(AXB) is :​

Answer 1

Answer:

n(A)=10

n(B)=5

n(A X B)=10x5

=50

Answer 2

If n(A) = 10 and n(B) = 5, then $n(A\times B)$ is 50

Explanation: Mathematical theory that was constructed to explain collections of items is known as the set theory. The definition essentially says that "it is a collection of elements." These components may take the form of integers, letters, variables, etc. Sets are represented by notation and symbols that are based on the operations that are carried out on them, such as intersection, union, difference, etc.

n(A) is the cardinal no. of set A. It means no. of elements in set A.

For e.g.: If A={2, 4, 6, 8}. then n(A)=4

$A\times B$ is the cartesian product of set A and set B.

For e.g.: If A={2, 4, 6} and B={1, 3, 5}

then, $A\times B$ = { (2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (6,1), (6,3), (6,5)}

Given, n(A)=10 and n(B)=5

For

$n(A\times B)=n(A)\times n(B)\\\Rightarrow n(A\times B)=10\times 5\\\therefore n(A\times B)=50$

To learn more about set theory, click on the links below:

https://brainly.in/question/8657136

https://brainly.in/question/50612645?msp_srt_exp=5

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