Home
Class 12
MATHS
In a committee, 50 people speak French a...

In a committee, 50 people speak French and 20 speak Spanish and 10 speak both French and Spanish. How many people speak atleast one of these two languages?

Text Solution

Verified by Experts

The correct Answer is:
Then n(F)=50,n(S)=20, n(F`cap`S)=10
n(F`cup`S)=n(F)+n(S)-n(F`cap`S)=50+20-10=60
Promotional Banner

Topper's Solved these Questions

  • SETS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|31 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

Similar Questions

Explore conceptually related problems

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks at least one language. (i) How many people can speak both Hindi and English? (ii) How many people can speak Hindi only? (iii) How many people can speak English only?

In a school of 4000 students, 2000 know French, 3000 know Tamil and 500 know Hindi, 1500 know French and Tamil, 300 know French and Hindi, 200 know Tamil and Hindi and 50 know all the three languages. (i) How many of them do not know any of the three languages? (ii) How many know atleast one language (iii) How many know only two languages.

In a group of 50 students, the number of students learning - French, English, Sanskrit were found to be as follows: French = 17, English = 13, Sanskrit = 15, French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who are learning at? French only (ii) English only (iii) Sanskrit only (iv) English and Sanskrit but not French (v) French and Sanskrit but not English (vi) French and English but not Sanskrit (vii) at least one of the three languages (viii) none of the three languages (ix) exactly one language (X) exactly two languages

In a group of 300 members, 200 can speak English and 150 can speak Malayalam. How many members can speak both languages? Indicate the answer using a Venn diagram.

In a group of 70 people, 37 like coffee, 52 like tea and each person likes atleast one of the two drinks. How many people like both coffee and tea?

NEW JOYTHI PUBLICATION-SETS-QUESTIONS FROM COMPETITIVE EXAMS
  1. In a committee, 50 people speak French and 20 speak Spanish and 10 spe...

    Text Solution

    |

  2. If A and B are not disjoint sets then n(AcupB) is equal to

    Text Solution

    |

  3. In a city 20 percent of the population travels by car, 50 percent trav...

    Text Solution

    |

  4. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  5. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  6. Given n(U)=20, n(A)=12, n(B)=9, n(AcapB)=4, where U is the universal s...

    Text Solution

    |

  7. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  8. If N(a)={an:ninN}, then N(5)capN(7)= (Here N is the set of natural n...

    Text Solution

    |

  9. Two finite sets have m and n elements respectively. The total number o...

    Text Solution

    |

  10. The number of elements in the set {(a,b):2a^(2)+3b^(2)=35, a,binZ}, wh...

    Text Solution

    |

  11. Let A={1,2,3,4}, B={2,4,6}. Then the number of sets C such that AcapBs...

    Text Solution

    |

  12. Let X and Y be the sets of all positive divisors of 400 and 1000 respe...

    Text Solution

    |

  13. In a certain town 25% families own a cell phone, 15% families own a sc...

    Text Solution

    |

  14. Two finite sets A and B have m and n elements respectively. If the tot...

    Text Solution

    |

  15. The shaded region in the figure represents

    Text Solution

    |

  16. If n(A)=8 and n(AcapB)=2, then n((AcapB)'capA) is equal to

    Text Solution

    |

  17. If the set A contains 5 elements, then the number of elements in the p...

    Text Solution

    |

  18. If n(A)=1000, n(B)=500 and if n(AcapB)ge1 and n(AcupB)=p, then

    Text Solution

    |

  19. If n(A)=43, n(B)=51 and n(AcupB)=75, then n((A-B)cup(B-A))=

    Text Solution

    |

  20. If A and B are non-empty sets such that AsupB, then

    Text Solution

    |

  21. Let X={1,2,3,.......,10} and A={1,2,3,4,5}. Then the number of subsets...

    Text Solution

    |