Q. If $S$ is a set with 10 elements and $A = \{(x,\ y):x,\ y \in S,\ x \neq y\}$, then the number of elements in $A$ is

A) 100
B) 90
C) 50
D) 45
Explanation

(b)
Number of element is $S = 10$
And $A = \{(x,\ y);x,\ y \in S,\ x \neq y\}$
$\therefore$ Number of element in $A = 10 \times 9 = 90$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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