Home
Class 12
MATHS
Suppose A1,A2….,A30 are thirty sets, eac...

Suppose `A_1,A_2`….,`A_30` are thirty sets, each having 5 elements and `B_1,B_2`,…..,`B_n` are n sets , each with 3 elements, let `uu_(i=1)^(30)A_i = uu_(j=1)^(n)B_j=S` and each element of S belongs to exactly 10 of `A'_i` and exactly 9 of `B'_j` . Then n is equal to :

A

15

B

3

C

45

D

35

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Each set X_r contains 5 elements and each set Y_r contains 2 elements and uu_(r=1)^(20) X_r =S=uu_(r=1)^n Y_r . If each element of S belongs to exactly 10 of the X'_r s and to exactly 4 of the Y'_r s , then n is :

sum_(i=1)^(n) sum_(j=1)^(i)sum_(k=1)^(j) 1 equals :

A and B are two sets such that n (A) =25 and n(B) = 15 , then maximum number of elements in A uu B is

A and B are two sets such that n(A) = 30 and n(B)=41, then n(A uu B) is

A set contains (2 n+1) elements. The number of subsets of this set containing more than n elements is equal to

Let A and B be two sets containing 2 elements and 4 elements respectively . The number of subsets of A x B having 3 . Or more elements is :

If A and B are two sets such that n (A) = 5 , n (B) = 7, then the minimum number of elements in A uu B is

Let X be a set containing n elements. Two subsets A and B of X are chosen at random, the probability that AuuB=X is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let, S = set of points inside the square T = set of points inside th...

    Text Solution

    |

  2. Two finite sets have m and n elements. The number of subsets of the fi...

    Text Solution

    |

  3. Suppose A1,A2….,A30 are thirty sets, each having 5 elements and B1,B2,...

    Text Solution

    |

  4. Let R be the set of points inside a rectangle of sides a and b with t...

    Text Solution

    |

  5. In a class of 60 students, 25 students play cricket, 20 students play ...

    Text Solution

    |

  6. In a town of 840 persons, 450 persons read Hindi, 300 read English and...

    Text Solution

    |

  7. If X={8^n -7n-1 : n in N} and Y={49 (n-1) | n in N}, then

    Text Solution

    |

  8. If the sets A and B are defined as : A={(x,y):y =1/x ,0 ne x in R}, ...

    Text Solution

    |

  9. A survey shows that 63% of the people watch at news channel whereas 76...

    Text Solution

    |

  10. If A and B are two sets , then A nn (A uu B) equals :

    Text Solution

    |

  11. If A={1,3,5,7,9,11,13,15,17},B={2,4,…, 18} and N is the universal set,...

    Text Solution

    |

  12. If X and Y are two sets and X^c denotes the complement of X, then X nn...

    Text Solution

    |

  13. Let S {x |x is a positive multiple of 3 less then 100}, P ={x|x is a...

    Text Solution

    |

  14. Let n(A) = m and n(B) = n. Then the total number of non-empty relation...

    Text Solution

    |

  15. Let T be the set of all trianges in the Euclidean plane and let a rela...

    Text Solution

    |

  16. Consider the non-empty set consisting of children in a family and a re...

    Text Solution

    |

  17. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then ...

    Text Solution

    |

  18. Let us define a relation R on the set R of real numbers as a R b if a ...

    Text Solution

    |

  19. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3...

    Text Solution

    |

  20. If a set A contains 5 elements and the set B contains 6 elements, then...

    Text Solution

    |