Question

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

Answer 1

75 like coffee

Answer 2

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,

\(60 + 75 -x \leq 100\)