In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu

48. How many speak both English and Telugu?

• n(E)=55 ; n(T)=85 ;
  30 neither speak english not telugu => out of 150 students only (150-30)=120 speak english or telugu
  we know that n(E U T)=n(E)+n(T)-n(E intersection T)
  => 120 = 55+85-n(E intersection T)
  =>n(E intersection T)= 20 => students who speak both english & telugu
• 11 years agoHelpfull: Yes(54) No(2)
• p(E)=55, p(T)=85
  p(EuT)=150 - 30 = 120
  p(EuT)=p(E)+ p(T)-p(E intersection T)
  120=55+85-p(E intersection T)
  so p(E intersection T) = 120 - (55+85)=20
  so 20 students speak both
• 11 years agoHelpfull: Yes(8) No(2)
• we khow,p(aUb)=p(a)+(b)-p(a intersection b)
  so,p(aUb)= 55+85-30=110.
• 11 years agoHelpfull: Yes(5) No(25)
• 20..................................................
• 11 years agoHelpfull: Yes(4) No(1)