Given-that-n-A-10-and-n-B-6-i-what-is-the-largest-possible-of-n-A-B-ii-what-is-the-smallest-possible-value-of-n-A-B-iii-what-is-the-smallest-possible-value-of-n-A-B-

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Question Number 169664 by MathsFan last updated on 05/May/22

$$\mathbf{Given}\mathbf{that}\mathbf{n}\left(\mathbf{A}\right)=10\mathbf{and}\mathbf{n}\left(\mathbf{B}\right)=6$$$$\mathbf{i})\mathbf{what}\mathbf{is}\mathbf{the}\mathbf{largest}\mathbf{possible}\mathbf{of}$$$$\mathbf{n}(\mathbf{A}\cup \mathbf{B})$$$$\mathbf{ii})\mathbf{what}\mathbf{is}\mathbf{the}\mathbf{smallest}\mathbf{possible}\mathbf{value}$$$$\mathbf{of}\mathbf{n}(\mathbf{A}\cup \mathbf{B})$$$$\mathbf{iii})\mathbf{what}\mathbf{is}\mathbf{the}\mathbf{smallest}\mathbf{possible}\mathbf{value}$$$$\mathbf{of}\mathbf{n}(\mathbf{A}\cap \mathbf{B})$$$$$$

Answered by Rasheed.Sindhi last updated on 05/May/22

$$\left(i\right)\mathcal{T}helargestpossibleof$$$$n(A\cup B)=n\left(A\right)+n\left(B\right)=10+6=16$$$$\left(ii\right)\mathcal{T}hesmallestpossiblevalueof$$$$n(A\cup B)=max(n\left(A\right),n\left(B\right))=10$$$$\left(iii\right)\mathcal{T}hesmallestpossiblevalueof$$$$n(A\cap B)=0$$

Commented by MathsFan last updated on 05/May/22

$$Thankyousir$$$$iappreciatesir$$

Commented by peter frank last updated on 06/May/22

$$\mathrm{thank}\mathrm{you}$$

Commented by Rasheed.Sindhi last updated on 06/May/22

$$\mathrm{thank}\mathrm{you}\mathrm{FOR}{}^{\prime }\mathrm{thank}{\mathrm{you}}^{\prime }!$$

Commented by MathsFan last updated on 10/May/22

$$$$

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