Home
Class 12
MATHS
A is a set containing n elements. A subs...

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen, the number of ways of choosing so that `(P cup Q)` is a proper subset of A, is

A

`.^(2n)C_(n)`

B

`4^(n)`

C

`3^(n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset of A is again chosen. Find the number of ways of choosing P and Q, so that (i) P capQ contains exactly r elements. (ii) PcapQ contains exactly 2 elements. (iii) P cap Q=phi

A is a set containing n elements. A subset P of A is chosen. The set A reconstructeed by replacing the elements of P. A subset Q of A is again chosen. The number of ways of chosen P and Q so that PnnQ=phi is _____________.

A is a set containing n elements . A subset of A is chosen at random. The set A is reconstructed by replacing the elements of P.A subet Q is again chosen at random. The number of ways of selecting P and Q, is .

A is a set containing n different elements.A subset P of A is chosen.The set A is reconstructed by replacing the elements of P A subset Q of A is again chosen.The number of ways of choosing P and Q so that P nn Q contains exactly two elements is a.^(n)C_(3)xx2^(n) b.^(n)C_(2)xx3^(n-2) c.3^(n-1) d.none of these

A is a set containing n different elements.A subset P of A is chosen.The set A is reconstructed by replacing the elements of P A subset Q of A is again chosen.The number of ways of choosing P and Q so that P nn Q contains exactly two elements is a.^(n)C_(3)xx2^(n) b.^(n)C_(2)xx3^(n-2) c.3^(n-1) d.none of these

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cup Q=A , is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The probability that P =Q, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cup Q contain just one element, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that Q is a subset of P, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P and Q have equal number of elements, is

RESONANCE-DPP-QUESTION
  1. If (3sqrt(3)+5)^n=p+f. where p is an integer and f is a proper fractio...

    Text Solution

    |

  2. A is a set containing n elements . A subet of A is chosen at random...

    Text Solution

    |

  3. A is a set containing n elements. A subset P of A is chosen. The set A...

    Text Solution

    |

  4. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |

  5. If S(n) = sum(r=0)^(n) (1)/(""^(n)C(r)) and t(n) =sum(r=0)^(n) (r )/("...

    Text Solution

    |

  6. If the equaion x^(2) + ax+ b = 0 has distinct real roots and x^(2) + a...

    Text Solution

    |

  7. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  8. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  9. If N = 6 m then :

    Text Solution

    |

  10. Orthocentre of an acute triangle A B C is at the orogin and its circum...

    Text Solution

    |

  11. There are 720 permultations of the digits 1,2,3,4,5,6 suppose these pe...

    Text Solution

    |

  12. There are 10 questions, each question is either True or False. Number ...

    Text Solution

    |

  13. 5 Indian & 5 American couples meet at a party& shake hands. If no wife...

    Text Solution

    |

  14. The coefficient of x^4 in ((1+x)/(1-x))^2,|x|<1, is

    Text Solution

    |

  15. In the expansion of (x +y + z)^25

    Text Solution

    |

  16. If S(1),S(2),S(3),"…….",S(2n) are the same of infinite geometric serie...

    Text Solution

    |

  17. if x,y,z be positive real number such that log(2x)z=3, log(5y) z= 6 an...

    Text Solution

    |

  18. The number of ways in which 8 distinguishable apples can be distribute...

    Text Solution

    |

  19. Distinct 3 digit numbers are formed using only the digits 1,2,3,4 wit...

    Text Solution

    |

  20. In equilateral triangle ABC with interior point D, if the perpendicula...

    Text Solution

    |