Question

If n(A) = 3, n(B) = 4, then n(A x A x B) is equal to
(a) 36 (b) 12 (c) 108 (d) 48​

Answer 1

Answer:

Step-by-step explanation:

formula=n(a) x n(b)=n(a x b)

n(a)=3 , n(b)=4

n(a x a x b)=3 x 4 x 3

n(a x a x b)=36 option(a) is correct

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If n(A) = 3 , n(B) = 4 then n(A × A × B) is equal to

(a) 36

(b) 12

(c) 108

(d) 48

CONCEPT TO BE IMPLEMENTED

1. Cartesian Product :

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

2. For two sets A and B

n(A × B) = n(A) × n(B)

EVALUATION

Here it is given that n(A) = 3 , n(B) = 4

Now n(A × A × B)

= n(A) × n(A) × n(B)

= 3 × 3 × 4

= 36

FINAL ANSWER

Hence the correct option is (a) 36

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