Aspire Faculty ID #15290 · Topic: JAMIA MCA 2016 · Just now
JAMIA MCA 2016

If $A$ and $B$ are two disjoint sets having $3$ and $5$ elements respectively, then power-set of $A \times (B - A)$ contains … elements.

Solution

Since $A$ and $B$ are disjoint, $B - A = B$. Then $A \times B$ has $3 \times 5 = 15$ ordered pairs. Power-set of it will have $2^{15}$ elements.

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