In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports.
3) How many students are there in the class
4) How many students play only cricket.

• 
  total no. of students
  = n(B U T U C)= n(B)+n(T)+n(C)-n(B∩T)-n(B∩C)-n(C∩T)+n(B∩T∩C)
  = n(B U T U C)= 73+79+75-25-24-30+16
  = n(B U T U C)= 164
  
  students play only cricket =
  only n(c) = n(C)- n(T U C) - n(B U C)+ n(T ∩ B ∩ C) = 75-24-30+16 = 37
  
• 10 years agoHelpfull: Yes(49) No(7)
• N(BUTUC)=N(T)+N(B)+N(C)-N(B∩T)-N(B∩C)-N(C∩T)+N(B∩T∩C)
  N(BUTUC)=73+79+75-25-30-24+16
  Total Students :N(BUTUC)=164
  PERSONS PLAY CRICKET ONLY=N(C)-N(B∩C)-N(C∩T)-2(N(B∩T∩C))
  =75-30-24-(2*16)
  =37
• 10 years agoHelpfull: Yes(7) No(4)
• can u please explain it through venn diagrams
• 10 years agoHelpfull: Yes(2) No(1)
• (73+75+79)-2(30+16+25)-32 = 37
• 10 years agoHelpfull: Yes(0) No(1)
• total student : 73+79+75-24-25-30+16 = 164
  
  students play only cricket : 75-24-30+16 = 37
• 10 years agoHelpfull: Yes(0) No(0)
• total no. of students
  = n(B U T U C)= n(B)+n(T)+n(C)-n(B∩T)-n(B∩C)-n(C∩T)+2*n(B∩T∩C) (as we have included B T & C 3 times so we have to sub it 2times)
  = n(B U T U C)= 73+79+75-25-24-30+32
  = n(B U T U C)= 180
  
  second one is easy 37
• 10 years agoHelpfull: Yes(0) No(0)
• no. of students in the class= 73+79+75-25-24-30+16=164
  students play only cricket=75-24-30+16=37
• 8 years agoHelpfull: Yes(0) No(0)
• ans:126
  No of students who plays only table tennis is :8
  No of students who plays only batmen-ton is :8
  No of students who plays only cricket is :15
  so total number of students are:8+8+15+25+24+16+30
  
• 8 years agoHelpfull: Yes(0) No(0)