Aclass of 51 students,25 offer mathematics,21 offer phyiscs,31 offer chemistry,12 offer mathematics and chemistry,15 offer phyiscs and mathematics and 10 offer phyiscs and chemistry.Find the number of students who offers all 3 subjects and who offer mathematics only, chemistry only, phyiscs only and even draw avenn diagram for them.

4 answers

It would help if you would proofread your work before you post it.

Since when do students "offer" classes?

Also, we cannot post a Venn diagram here.
x do all three
Math alone = 25 - (12-x) - (15-x) - x = x - 2
Chem alone = 31 - (12-x) - (10-x) -x = x + 9
Physics alone = 21 - (15-x) - (10-x) -x = x - 4

sum of all
51 =x-2 +x+9 +x-4 + 15-x +12-x +10-x + x
51 = x + 40
x = 11 took all
check it and go back and get the rest
By the way, I drew a Venn diagram.
I think this usage of "offer" is prevalent in Uganda and maybe some other African nations where English has evolved its own dialects.