in a group of 20 adult there are 8 males and 9 vegetarians find by venn diagram the number of female non vegetarians if the group contains 5 male vegetarians

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$$\begin{gathered} \mathrm{Looking} \mathrm{at} \mathrm{the} \mathrm{venn} \mathrm{diagram} , \mathrm{we} \mathrm{can} \mathrm{easily} \mathrm{see} \mathrm{that} \mathrm{we} \mathrm{have} \mathrm{a} \mathrm{total} \mathrm{of} \\ 8 \mathrm{males} \\ 12 \mathrm{females} \\ 5 \mathrm{male} \mathrm{vegetarian} \\ 4 \mathrm{female} \mathrm{vegetarian} \\ \mathrm{hence} \mathrm{number} \mathrm{of} \mathrm{female} \mathrm{non} \mathrm{vegetarian}=\left(\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{females}-\mathrm{number} \mathrm{of} \mathrm{female} \mathrm{vegetarian}\right) \\ =12-4=8 \\ \mathrm{hence}, \\ \mathbf{number}\mathbf{ }\mathbf{of}\mathbf{ }\mathbf{female}\mathbf{ }\mathbf{non}\mathbf{ }\mathbf{vegetarian}\mathbf{=}\mathbf{8} \end{gathered}$$

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