Home
Class 11
MATHS
If A and B are two sets such that n(AuuB...

If A and B are two sets such that `n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=32 ,\ fin d\ n(AnnB)dot`

Text Solution

Verified by Experts

As we know:

`n(A cup B)=n(A)+n(B)-n(A cap B)`

Hence ` n(A cap B) &=n(A)+n(B)-n(A cup B) &=28+32-50 `

(`because` we have given `n(A)=28, n(B)=32` and `n(A cup B)=50` Hence `n(A cap B)=10`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If A and B are two sets such that n(A uu B)=50,n(A)=28 and n(B)=32 find n(A nn B).

If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300. Find n(A-B) a n d n(B-A)dot

If A and B are two sets such that n(A) =20 , n(B) =25 and n(AcapB) =5 , then write n(AuuB) .

if A and B are events such that P(A)=0. 6 ,\ P(B)=0. 3\ a n d\ P(AnnB)=0. 2 ,\ fin d\ P(A//B)a n d\ P(B//A)dot

If A and B are two events such that P(A)=0. 3 ,\ P(B)=0. 6\ a n d\ P(B//A) =0. 5 find P(A//B)\ a n d\ P(AuuB)dot

If A and B are two sets such that n(A)=20,n(B)=24 and n(A uu B)=40 then write n(A nn B)

If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ P(A)=0. 2 , find P(B)dot

If A and B are two sets such that n (A) =37, n(B) =26 and n (A cup B) =51 , find n(A cap B) .

If A and B are two sets such that n(A) =54,n(B) =39and n (B-A)=13 then find n( Acup B) .

If A and B are two sets such that n(A) =23, n(B)=37 and n(A - B) =8 then find n(Acup B) .

RD SHARMA-SETS-Solved Examples And Exercises
  1. A survey shows that 63% of the Americans like cheese whereas 76% like ...

    Text Solution

    |

  2. A college warded 38 medals in football, 15 in basketball and 20 in ...

    Text Solution

    |

  3. If A and B are two sets such that n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=3...

    Text Solution

    |

  4. If X and Y are two sets such that X has 40 elements, X uuY has 60 e...

    Text Solution

    |

  5. In a school there are 20 teachers who teach mathematics or physics....

    Text Solution

    |

  6. In a group of 70 people, 37 like coffee, 52 like tea and each perso...

    Text Solution

    |

  7. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  8. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  9. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  10. A survey shows that 76% of the Indians like oranges, whereas 62%like ...

    Text Solution

    |

  11. In a group of 950 persons, 750 can speak Hindi and 460 can speak En...

    Text Solution

    |

  12. In a group of 1000 people all of whom speak atleast one of Bengali or ...

    Text Solution

    |

  13. In a survey of 100 persons it was sound that 28 read magazine A, 30 re...

    Text Solution

    |

  14. In a group of 50 persons, 14 drink tea but not coffee and 30 drink tea...

    Text Solution

    |

  15. In a survey of 100 students, how many of students studying the various...

    Text Solution

    |

  16. Write the number of elements in the power set of null set.

    Text Solution

    |

  17. Let A={x ; x in N ,\ x is a multiple of 3} and B={x : x in N\ a n d\...

    Text Solution

    |

  18. If A and B two sets containing 3 and 6 elements respectively and if mi...

    Text Solution

    |

  19. If A={x in C : x^2=1}\ a n d\ B={x in C : x^4=1} , then write A-B\ a...

    Text Solution

    |

  20. Let A and B be two sets having 4 and 7 elements respectively. Then ...

    Text Solution

    |