If n(A) = 4, n(B) = 3, n(A × B × C) = 24, then n(C) =

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Solution

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

1 2

2 1

3 12

4 17

Ans.
(1)

$n (A \times B \times C) = n (A) \times n (B) \times n (C)$

$∴$ $n (C) = \frac{n (A \times B \times C)}{n (A) \times n (B)} \Rightarrow n (C) = \frac{24}{4 \times 3} = 2$

$∴$ $n (C) = 2$

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