Question

The following information was observed during a survey of 100 TV viewers, 18
watch programme P only, 23 watch programme P but not Q, 8 watch programme P
and R 26 watch programme P. 48 watch programme R, 8 watch programme Q and
R 14 watch none of these programme. Find the number of people Venn diagram​

Answer 1

Answer:

Number of people who watches only Q = 7

Step-by-step explanation:

P  Only   -   18

P  but not Q  -  23    ( it contains subset P only of 18)

P but not Q exclusively = 23 - 18 = 5

P & R  =  8

P  =  26

P - P only = 26 - 18 = 8   = P & R

=> P & R but not Q  = 5

=> P , Q & R =   8 - 5 = 3

R = 48

Q & R  = 8

14 watch none

P + Q + R  + none = 100

=> 26 + Q + 48 + 14 = 100

=> Q = 12

P = 26  , Q  = 12  ,  R = 48

P , Q & R = 3

Only Q  =  Q  - Q & R +  P , Q & R  =  12 - 8 + 3 = 7

Number of people who watches only Q = 7