CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A = \{1,2,3,4,5\}

and

B = \{1,2,3,4,5\}

. (i) Find the total number of ordered pairs in

A \times B

. (ii) Determine how many ordered pairs

(a,b)

from

A \times B

satisfy

a + b

being an even number. (iii) Using your result from part (ii), calculate the number of ordered pairs

(a,b)

in which

a + b

is odd, and verify that the counts in parts (i), (ii) and (iii) are consistent.