1. in a class of 60 student, 22 offered french, 36 offered history , 8 french and english, 10 english and history, 12 french and history while 6 clid not offer any of the three subjects. (a) draw avenn diagram to represent the data? (b) use the diagram in (a) to the numbers of students who offered (i)all the three subjects (ii) history only (iii) french and history only?

Question

1. in a class of 60 student, 22 offered french, 36 offered history , 8 french and english, 10 english and history, 12 french and history while 6 clid not offer any of the three subjects.    (a) draw avenn diagram to represent the data?   (b)  use the diagram in (a) to the numbers of students who offered  (i)all the three subjects (ii) history only (iii) french and history only?

oobleck · Accepted Answer

I think you forgot to say how many offer English. Using what you have given, all we know is that if
E took English
x took all three, then
(22+36+E)-(8+10+12)+x = 60-6
E+x = 26
So there are lots of possible solutions.

Tolu · Answer

The question is incomplete. 22 also offered English. Therefore 22 + x = 26 x = 26 - 22 x = 4 History only = 14 + x = 14 + 4 = 18 French and history only = 12 - x = 12 - 4 = 8