Home
Class 11
MATHS
In a commifiee, 50 people speak French, ...

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

Text Solution

Verified by Experts

Let .A. be the set of people speak French and .B. be the set of people speak Spanish .n(A)=50, n(B)=20, n(A nn B)=10.
.n(A uu B)=n(A)+n(B)-n(A nn B)=50+20-10=60.
60 people speak at least one of these two languages.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

In a committee, 60 people speah English, 30 speak Hindi and 15 speak both English and Hindi. How many speak atleast one of these two languages?

In a group of people 50 speak French, 20 speak Spanish and 10 speak both Spanish and French.Find the number of people speaking at least one of these two languages.

In a group of people 50 speak French, 20 speak Spanish and 10 speak both Spanish and French.Find the number of people speaking only Spanish

In a group of people 50 speak French, 20 speak Spanish and 10 speak both Spanish and French.Find the number of people speaking only French

In a flight 50 people speak Hindi, 20 speak English and 10 speak both English and H indi. The num ber of people w ho speak atleast one of the two languages is

in a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi, and all the people speak at least one of two language. The number of people speak English is

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 800 people, 550 can speak Hindi and 450 can speak English. How many. can 'speak both Hindi and English?

The number of students who take both the subjects Mathematics and Chemistry is 30. This represents 10% of the enrolment in Mathematics and 12% of the enrolment in Chemistry. How many students take atleast one of these two subjects ?

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

V PUBLICATION-SETS-QUESTION BANK
  1. In a group of 70 people, 37 like coffee, 52 like tea and each person l...

    Text Solution

    |

  2. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

    Text Solution

    |

  3. In a commifiee, 50 people speak French, 20 speak Spanish and 10 speak ...

    Text Solution

    |

  4. Show that the set of letters needed to spell "CATARACT" and the set of...

    Text Solution

    |

  5. Write down all the subsets of the following sets {1,2,3}

    Text Solution

    |

  6. Show that A uu B=A nn B implies A=B

    Text Solution

    |

  7. For any sets 'A' and 'B', show that P(A nn B)=P(A) nn P(B)

    Text Solution

    |

  8. Decide, among the following sets, which, sets are subsets of one and a...

    Text Solution

    |

  9. In each of the following , determine whether the statement is true or ...

    Text Solution

    |

  10. Let A,B and C be the sets such that A cup B = A cup C and A cap B = A ...

    Text Solution

    |

  11. Show that if A sub B, then C- B sub C - A

    Text Solution

    |

  12. Show that the following four conditions are equivalent: i) A sub B i...

    Text Solution

    |

  13. Assume that P (A) = P (B).Show that A = B

    Text Solution

    |

  14. Is it true that for any sets A and B , P (A) cup P (B) = P(A cup B)? J...

    Text Solution

    |

  15. Show that for any sets A and B. A=(A cap B) cup (A - B) and A cup(B - ...

    Text Solution

    |

  16. Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=...

    Text Solution

    |

  17. Show that A cap B = A cap C need not imply B = C

    Text Solution

    |

  18. Let A and B be sets. If A cap X = B cap X = phi and A cup X = B cup X ...

    Text Solution

    |

  19. Find sets A,B and C such that A cap B,B cap C and A cap C are non-empt...

    Text Solution

    |

  20. In a survey of 600 students in a school,150 students were found to be ...

    Text Solution

    |