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

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

If \(A = \{1,3,5\}\) 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?

7. Five marks example problems I