In a group of 100 people 15 likereading newspapers
Answers
Answer:
Given, total number of teacher = 100
=> n(T) = 100
Now, 15 like reading newspapers only
=> n(N) = 15
12 like learning computers only
=> n(C) = 12
8 like watching movies only
=> n(M) = 8
40 like reading newspapers and watching movies,
=> n(N ∩ M) = 40
20 like learning computer and watching movies
=> => n(C ∩ M) = 20
10 like reading newspaper and learning computer
=> n(N ∩ C) = 10
65 like watching movies, newspaper and learning computer.
=> n(N ∩ M ∩ C) = 65
1. Numbers of teachers who Like reading newspapers is
(15 - 10) + (65 - 40) + (65 - 15) - 15
= 5 + 25 + 50 - 15
= 80 - 15
= 65
2. Numbers of teachers who Like learning computer is
(12 - 10) + (65 - 12) + (20 - 12) - 12
= 2 + 53 + 8 - 12
= 63 - 12
= 51
3. Numbers of teachers who do not like any thing is
100 - (65 - 15) - (65 - 12) - (65 - 8) + 65
= 100 - 50 - 53 - 57 + 65
= 165 - 160
= 5
There ya go........
Hope it helps :)