In a class 6 students speaks Hindi 15 speaks Tamil 6 speaks Telugu. 2 speaks both Hindi and Tamil and 1 speaks all the three languages then how many students in the class room?

• ans=23
  
  hindi=6
  tamil=15
  telugu=6
  Those students speaks only hindi=6-2(from hindi n tamil)-1(from all three)=>3
  Those students speaks only telugu=6-1(from all three)=>5
  Those students speaks only tamil=15-2(from hindi n tamil)-1(from all three)=>12
  total=3+5+12=>20
  bt students speaks hindi+tamil=2
  and
  those speaks all three hindi+tamil+telugu=1
  so finaly 20+2+1=23
• 10 years agoHelpfull: Yes(51) No(10)
• 26 members
  h speak students=6
  telugu speak students=6
  tamil speak students=15
  hind and tamil=2
  1 speaks all three
  total students=h+tamil+telugu-(h&tamil)+All three=6+15+6-2+1=26
• 10 years agoHelpfull: Yes(5) No(7)
• 1)use venn diagram make eqns as a+b+d=6 (for hindi) 2)b+c+d=15 (tamil) 3) d+e=6 for (telgu ) 4) b+d=2 (both tamil & hindi) 4) d=1 because it speaks all 3 lang: after solving a=4,b=1,c=13,d=1,f=5 sum= 24 students
• 10 years agoHelpfull: Yes(5) No(2)
• Let no. of students speaking Hindi be h,Tamil be t and Telugu be e
  H=6
  T=15
  E=6
  H&t=2
  H&t&e=1
  Total students=6+15+6-4+2-3+1-1=22
  Bcoz students who are speaking any of two or three Lang. get counted twice or thrice respectively when adding the no. of students speaking each Lang. Separately so subtracting
  
• 10 years agoHelpfull: Yes(3) No(11)
• 23
  solving by ven diagram
  only hindi=6-2(hindi&tamil)-1(all hindi telgu and tamil)=3
  similarly only tamil=15-(hindi and tamil)-1(h&ta&te)=12
  only telgu=6-1(h &ta &telgu)=5
  now adding 3(h)+12(tal)+5(telgu)+1(h&TA&tel)+2(H&Ta)=23
  
• 10 years agoHelpfull: Yes(3) No(1)
• answer is 26
  as n(a)+n(b)+n(c)-n(a^b)-n(b^c)-n(a^c)+n(a^b^c)=6+15+6-2-0-0+1=26
• 10 years agoHelpfull: Yes(2) No(4)
• ans = 24
  note that there 2 students who speak both hindi and tamil and one who speaks all the three languages. The question does'nt say that there are 2 students who speak only hindi and tamil ....
  only hindi speaking students=4
  only tamil = 13
  only telegu =5
  all three =1
  only hindi n tamil=1
  tota 24
  
• 9 years agoHelpfull: Yes(2) No(0)
• 20
  FIRST WE HAVE SEE 2 SPEAK BOTH HINDI AND TAMIL
  ONE WILL SPEAK ALL THREE LANG
  SO (6-3)+(15-3)+(6-1)=20
  
• 10 years agoHelpfull: Yes(1) No(8)
• correct answer::::: 23
• 10 years agoHelpfull: Yes(1) No(1)
• total no . of students in the class room=30 my answer is 23
• 10 years agoHelpfull: Yes(1) No(1)
• assming all the students speak at least one of the 3 langs
  
• 10 years agoHelpfull: Yes(0) No(4)
• 25
  P(aubuc)=p(a)+p(b)+p(c)-p(a^b)-p(b^c)-p(a^c)+p(a^b^c)
• 10 years agoHelpfull: Yes(0) No(5)
• In a class 6 students speaks Hindi 15 speaks Tamil 6 speaks Telugu. 2 speaks both Hindi and Tamil and 1 speaks all the three languages then how many students in the class room?
• 8 years agoHelpfull: Yes(0) No(1)
• ans=24 100%correct
  p(hindi) + p(tamil) + p(telgu) - {p(hindi intersection tamil) + p(hindi intersection tamil intersection telgu)
  = 6 +11 +6 -(2 +1)=24 ans
• 8 years agoHelpfull: Yes(0) No(0)
• Let us assume the two persons who can speak two languages, speak Hindi and Tamil. The third person then speaks all the three languages.
  Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3
  Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 = 12
  Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5
  Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20
  Number of persons who can speak two languages = 2
  Number of person who can speak all the languages = 1
  
  Total number of persons = 23.
• 3 Months agoHelpfull: Yes(0) No(0)