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

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

Relations and Functions

Solution:

$n\left(A\right) = 4, n\left(B\right) = 3$
$n\left(A\right) × n\left(B\right) × n\left(C\right) = n\left(A × B × C\right)$
$4 × 3 × n\left(C\right) = 24 \quad\Rightarrow \quad n\left(C\right) = 24/12 = 2$