Home
Class 12
MATHS
If n(U)=1200, n(A)=900 and n(B)=700 wher...

If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then find:
(i) The greatest value of `n(A cup B)`
(ii) The least value of `n(A cap B)`.

Text Solution

Verified by Experts

(i) 1200
(ii) 400
Promotional Banner

Topper's Solved these Questions

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-A(Objective Type Questions (One option is correct))|41 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-B(Objective Type Question(One option is correct))|13 Videos

  • SETS

    AAKASH INSTITUTE|Exercise EXAMPLE|24 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

Similar Questions

Explore conceptually related problems

If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find: (i) The greatest Value of n(A cup B) (ii) The least value of n(A cap B) .

If n(U)=50, n(A)=24, and n(B)= 30 where U is the universal set, then find (i) The greatest value of n(A cup B) (ii) The least value of n(A cap B)

If n(u)=60,n(A)=21,n(B)=43 then greatest value of n(A uu B) and least value of n(A uu B) are

Given n(U) = 20, n(A) = 12, n(B) = 9, n(AnnB) = 4, where U is the universal set, A and B are subsets of U, then n((AuuB)') equals

n(A)=20, n(B)=18 and n(A cap B)=5 , then n(A cup B) is

If n (A Delta B) = 12 and n(A nn B) = 3 , then find the greatest possible value of n(A xx B) .

AAKASH INSTITUTE-SETS -Try yourself
  1. Write down the complement of given set A (i) A={x,x in N}, set of wh...

    Text Solution

    |

  2. Write down the complement of given set A (i) N is universal set, A={...

    Text Solution

    |

  3. If universal set U={1,2,3,4,5,6,7,8,9}, A={1,5,6},B={4,8,9},C={3,2,6} ...

    Text Solution

    |

  4. If universal set, U={x:x is a letter in the phrase The MAD DONKEY} A...

    Text Solution

    |

  5. Draw the venn diagram to represent (i) A cap (B-A)' & (ii) A cup B(B...

    Text Solution

    |

  6. If U={1,2,3……10}, A={1,5,6}, B={3,4,5}, C={6,5,3,10}, then represent t...

    Text Solution

    |

  7. Prove A cup (B cap C)=(A cup B) cap(A cup C)

    Text Solution

    |

  8. Prove (A cap B)'=(A' cup B')

    Text Solution

    |

  9. If X and Y are two sets such that X cup Y has 50 elements, X has 24 el...

    Text Solution

    |

  10. If A and B are two sets such that A cup B has 64 elements, A has 40 el...

    Text Solution

    |

  11. If A and B are two sets such that n(A)=30, n(B)=26 and n(A cup B)=50,...

    Text Solution

    |

  12. If A and B are two sets such that n(A)=24, n(B)=13 and n(A cup B) =32 ...

    Text Solution

    |

  13. If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find...

    Text Solution

    |

  14. If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then ...

    Text Solution

    |

  15. In a class of 30 students, 13 like to eat cake and 26 like to eat ice ...

    Text Solution

    |

  16. In a class of 195 students, 115 like football, 130 like basket ball. I...

    Text Solution

    |

  17. In a group of students, there are 24 opting for photography and 26 opt...

    Text Solution

    |

  18. In an adventure trip, there are 50 people interested for camel riding ...

    Text Solution

    |

  19. In an university, out of 100 students, 16 opted mathematics only, 24 o...

    Text Solution

    |

  20. In a group of 200 students, 20 played cricket only, 36 plated tennis o...

    Text Solution

    |