Class 12

Relations and Functions question bank (Maths)

Practice 179 free Class 12 Maths - Relations and Functions questions with answers and step-by-step solutions.

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Q1.

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to each of the sets $A \times B$ and $B \times A$ is

(A)

$2^{99}$

(B)

$99^2$

(C)

$100$

(D)

$18$

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Q2.

Let $A$ and $B$ be two sets containing $4$ and $2$ elements respectively. Then the number of subsets of the set $A \times B$ each having at least $3$ elements is:

(A)

$510$

(B)

$219$

(C)

$256$

(D)

$275$

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