in a group of 100 persons 60 like tea 7 like coffee. if x persons like both tea and coffee show 35 <= x <=6 0

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in a group of 100 persons 60 like tea 7 like coffee. if x persons like both tea and coffee show 35 <= x <=6 0

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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75 like coffee
Its obvious that \(x \leq 60\) since the group which like both tea and cofee is a subset of the group that like tea, and the group that like coffee. Thus, \(x \leq Min\{\text{no. of coffe people}, \text{no. of tea people} \}\) now from the venn diagram, \(60 + 75 -x \leq 100\) |dw:1440479236933:dw|
|dw:1440481316707:dw|

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