Question

Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited Pakistan and 15 have visited both the countries. Illustrate this information in a venn_diagram and How many tourists have not visited any of these two countries.​

Answer 1

30 visited nepal only 25 visited Pakistan only. 15 tourists at the intersection of the two circles and 1130 have not visited either

Answer 2

Answer:

• We're provided - Total number of Chinese tourist = 1200 i.e n ( U ) = 1200 , number of Chinese who visited India = 45 i.e n ( I ) = 45 , number of Chinese tourists who visited Pakistan = 40 i.e n ( P ) = 40 & number of tourist who have visited both Pakistan and India = 15 i.e n ( I ⋂ F ) = 15. We're asked to find out the number of tourist who have not visited any of these two counties i.e $\tt{n( \overline{i \:⋃ \: f}) = 15}$.

$\large{ \tt{✽ \: SOLUTION}} :$

$\large{ ✺ \: \tt{n(U) = n(I) + n(P) - n(I ⋂\: P) + n \: ( \overline{I \:⋃ P }\: )}}$

$\large{ \tt{⟹ \: 1200 = 45 + 40 - 15 + n \: ( \overline{ I \: ⋃ P})}}$

$\large{ \tt{⟹1200 = 70 + n \: ( \overline{ I \:⋃ P)}}}$

$\large{ \tt{⟹ \: 1200 - 70 = n \: ( \overline{I\: ⋃ \: P})}}$

$\large{ \tt{⟹1130 = n \: ( \overline{I \: ⋃ \: P})}}$

• Hence , 1130 Chinese tourists have not visited any of these two countries. [ See the attached picture for Venn diagram ]

- Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)