Five marks example problems I — task. Mathematics State Board, Class 10.

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$A = \{1,3,5\}$ and

$B = \{2,3\}$ then

(i) finds

$A \times B$ and

$B \times A$ .

(ii) Is

$A \times B = B \times A$ ? If not, why?

(iii) Show that

$n(A \times B) = n(B \times A) = n(A) \times n(B)$

Answer:

(i)

$A \times B =$

$\{$

$\}$

$B \times A =$

$\{$

$\}$

(Note: Enter the ordered pairs in ascending order.)

(ii) Since all the ordered pairs of

$A \times B$ and

$B \times A$ are , then

$A \times B$

$B \times A$ .

(iii)

$n(A) =$

$n(B) =$

$n(A \times B) =$

$n(B \times A) =$

Therefore,

$n(A \times B)$

$n(B \times A)$

$n(A) \times n(B)$ .

Did you find an error?

9. Five marks example problems I