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Relations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations1 Mark
Question
If n(A) = 3, n(B) = 4, then write n(A × A × B).
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Answer

We have,
n(A) = 3, n(B) = 4
$\therefore$ n(A × A × B) = n(A) × n(A × B) $\big[\because\ \text{n(A}\times\text{B})=\text{n(A)}\times\text{n}(\text{B})\big]$
= n(A) × n(A) × n(B)
= 3 × 3 × 4
= 36
⇒ n(A × A × B) = 36

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