First slide

Introduction to Relations (XI) on Sets

Question

$If n (A) = 4, n (B) = 3, n (A \times B \times C) = 24, then n (C) =$

Easy

A

288
B

1
C

12
D

2

Solution

$\begin{array}{l} n (A) = 4, n (B) = 3 \\ n (A) \times n (B) \times n (C) = n (A \times B \times C) \\ 4 \times 3 \times n (C) = 24 \\ \Rightarrow n (C) = \frac{24}{2} = 2 \end{array}$

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