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Question Number 27144 by NECx last updated on 02/Jan/18
$${Let}\:{A}=\left\{{x},{y},{z}\right\}\:{and}\:{B}=\left\{\mathrm{1},\mathrm{2}\right\}.\:{Find} \\ $$$${the}\:{number}\:{of}\:{relations}\:{from}\:{A}\:{to} \\ $$$${B}. \\ $$
Commented by NECx last updated on 02/Jan/18
$${I}\:{dont}\:{understand}\:{you}\:{sir} \\ $$$$ \\ $$
Answered by prakash jain last updated on 02/Jan/18
$$\mathrm{Relation}\:\mathrm{is}\:\mathrm{a}\:\mathrm{subset}\:\mathrm{of}\:\mathrm{A}×\mathrm{B}. \\ $$$$\mathrm{A}×\mathrm{B}\:\mathrm{has}\:\mathrm{3}×\mathrm{2}=\mathrm{6}\:\mathrm{element} \\ $$$$\mathrm{numbers}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{of}\:\mathrm{A}×\mathrm{B}=\mathrm{2}^{\mathrm{6}} =\mathrm{64} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{relations}\:\mathrm{from}\:\mathrm{A}\:\mathrm{to}\:\mathrm{B}=\mathrm{64} \\ $$
Commented by NECx last updated on 02/Jan/18
$${thanks}\:{sir} \\ $$