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  • Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each having at least 3 and at most 6 elements is :<str

Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each having at least 3 and at most 6 elements is :

Option: 1

752


Option: 2

772


Option: 3

782


Option: 4

792


Answers (1)

\begin{aligned} & \mathrm{n}(\mathrm{A} \times \mathrm{B})=10 \\ & { }^{10} \mathrm{C}_3+{ }^{10} \mathrm{C}_4+{ }^{10} \mathrm{C}_5+{ }^{10} \mathrm{C}_6=792\end{aligned}

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Sumit Saini

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