Home
Class 11
MATHS
Two finite sets A and B have m and n ele...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA ENGLISH|Exercise All Questions|119 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. Find the values of m and n.

Two finite sets have m and 3 elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m is ___________

Two finite sets have m and n elements respectively. The total number of subsets of the first set is 192 more than the total number of subsets of the second set. The values of m and n respectively are (i) 7,6 (ii) 8,6 (iii) 8,5 (iv) 9,7

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. The value of m - n is

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

two finite sets have m and n elements . The total number of subsets of the first set is 56 more than the total number of subsets of the seccond set , the values of m and n are

Let A and B be two finite sets having m and n elements respectively. Then the total number of mappings from A to B is

Let A and B be two finite sets having m and n elements respectively. Then the total number of mappings from A to B is

Two infinite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively.(a) 4, 7 (b) 7,4 (c) 4,4 (d) 7,7

Two finite sets have m and n ( m gt n) elements .The number of subes of the first set is 112 more than that of the second set. The value of mn is

RD SHARMA ENGLISH-SETS-All Questions
  1. Let A={3,6, 12 , 15 , 18 , 21},\ B={4,8, 12 , 16 , 20},\ C={2,4,6,8, 1...

    Text Solution

    |

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

    Text Solution

    |

  3. Two finite sets A and B have m and n element respectively. If the tota...

    Text Solution

    |

  4. For any two sets A and B, Ann(AuuB ') is equal to a. A b. B c. varphi ...

    Text Solution

    |

  5. The set (A uu B')' uu(B nn C) is equal to

    Text Solution

    |

  6. If a in N such that a N={a x : x in N} . Describe the set 3Nnn7Ndot

    Text Solution

    |

  7. For any natural number a,we define aN={ax:x in N}. If b,c,d in N such ...

    Text Solution

    |

  8. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

    Text Solution

    |

  9. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  10. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  11. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  12. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  13. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  14. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

    Text Solution

    |

  15. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

    Text Solution

    |

  16. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

    Text Solution

    |

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

    Text Solution

    |

  18. Show that if A subB , then C" "-" "BsubC" "-" "A .

    Text Solution

    |

  19. Prove that Auu (Ann B)= A

    Text Solution

    |

  20. For any two sets, prove that:\ Ann(AuuB)=A

    Text Solution

    |