Home
Class 12
MATHS
Two finite sets have m and n elements. T...

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. Then m and n are

A

7,6

B

6,3

C

6,4

D

7,4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 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

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are

Two sets have m and k elements. If the total number of subsets of the first set is 112 more than that of the second set, find the values of m and k.

A set has n elements, then the total number of subsets of A is

Two finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is

If a set A has n elements, then the total number of subset of A or the number of elements in the power set of A

If a finite set A has m elements, then the number of non-empty proper subset of A is

NEW JOYTHI PUBLICATION-SETS-EXERCISE
  1. Sets A and B have 3 and 6 elements respectively. What is the minimum n...

    Text Solution

    |

  2. The number of proper subsets of {1,2,3} is

    Text Solution

    |

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

    Text Solution

    |

  4. If A, B and C are non empty sets, then (A-B)cup(B-A) equals

    Text Solution

    |

  5. A={1,2,3}, B={3,4}, C={4,5,6} then Acup(BcapC) is

    Text Solution

    |

  6. In a class of 100 students, 55 have passed in mathematics and 67 have ...

    Text Solution

    |

  7. Out of 800 boys in a school, 224 played cricket, 240 played hockey and...

    Text Solution

    |

  8. In a college of 300 students, every student reads 5 newspapers and eve...

    Text Solution

    |

  9. If A and B are two given sets then Acap (A capB)^(c) is equal to

    Text Solution

    |

  10. Let n(U)=700, n(A)=200, n(B)=300 and n(AcapB)=100, then n(A^(c)capB^(c...

    Text Solution

    |

  11. In Rule Method the null set is represented by

    Text Solution

    |

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

    Text Solution

    |

  13. Let A and B be two sets such that n(A)=0.16, n(B)=0.14, n(AcupB)=0.25 ...

    Text Solution

    |

  14. In a city 20% of the population travels by car, 50% travels by bus and...

    Text Solution

    |

  15. Given n(U)=20, n(A)=12, n(B)=10, n(AcapB)=4 where U is the universal s...

    Text Solution

    |

  16. If A={x:f(x)=0} and B={x:g(x)=0} then AcapB will be

    Text Solution

    |

  17. Let A and B be two non empty subsets of a set X such that A is not a s...

    Text Solution

    |

  18. If A={phi,{phi}}, then the power set of A is

    Text Solution

    |

  19. If a set A has n elements, then the total number of subset of A or the...

    Text Solution

    |

  20. The number of non empty subset of the set {1,2,3,4} is

    Text Solution

    |