Question

. If n(AxB)=10 n(B)=2 then n(A) is​

Answer 1

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Here is your answer

Answer 2

Answer:

The number of elements in A i.e., n(A) is 5.

Step-by-step explanation:

The cartesian product, $A\times B$ , of  two sets A and B is defined as the set containing ordered pairs from A and B.

From the multiplication principle, if A has M elements and B has N elements, then the cartesian product $A\times B$ has MN elements.

This can be written as $n(A)\times n(B)=n(A\times B)$

Given the number of elements in cartesian product, $n(A\times B)=10$

And the number of elements in B, n(B) = 2

Then n(A) from the multiplication rule is

$n(A)=\frac{n(A\times B)}{n(B)}$

Substituting the values,

$n(A)=\frac{10)}{2}=5$

Therefore, the number of elements in A that is n(A) is 5.