A school has 39 vacancies for teachers. out of which 22 are for English language,21 are for mathematics and 17 are for fine arts. of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts. calculate the number of teachers who must be able to teach all subjects and fine arts only

12

Step-by-step explanation:

let

x= no. for English

y= no. for maths

z= no. for fine arts

a= no. for all subjects

x= 22

y= 21

z= 17

x+y+z= 39

x intersect y= 11

y intersect z= 8

x intersect z= 7

(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39

34+a =39

a= 5

no.of teachers who teaches all & fine art only

= a + (2+a)

= 5+7

= 12

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