Home
Class 11
MATHS
A is a set containing n different elemen...

A is a set containing `n` different elements. A subset `PofA` is chosen. The set A is reconstructed by replacing the elements of `PdotA` suhcset `QofA` is again chosen. The number of ways of choosing `Pa n dQ` so that `PnnQ` contains exactly two elements is a. `^n C_3xx2^n` b. `^n C_2xx3^(n-2)` c. `3^(n-1)` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

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 PnnQ contains exactly two elements is a. .^n C_3xx2^n b. .^n C_2xx3^(n-2) c. 3^(n-1) d. none of these

Let A be a set containing elements. A subset P of the set A is chosen at random. The set A is reconstructed by replacing the elements of P, and another subset Q of A is chosen at random. The probability that P cap Q contains exactly m (m lt n) elements, is

A is a set containing n elements. A subset P_1 is chosen and A is reconstructed by replacing the elements of P_1 . The same process is repeated for subsets P_1,P_2,....,P_m with m>1 . The number of ways of choosing P_1,P_2,....,P_m so that P_1 cup P_2 cup....cup P_m=A is (a) (2^m-1)^(mn) (b) (2^n-1)^m (c) (m+n)C_m (d) none of these

A set contains n elements.The power set contains

A set contains (2n + 1) elements. The number of subsets of the which contain at most n elements is

If the number of elements of set A are n, then show that the number of sub sets of A are 2^n .

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

The number of subsets of a set containing n distinct elements is

If A is a finite set and contains n elements, prove that the power set of A has 2^n elements.

The number of possible outcomes in a throw of n ordinary dice in which at least one of the die shows and odd number is a. 6^n-1 b. 3^n-1 c. 6^n-3^n d. none of these

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Messages are conveyed by arranging four white, one blue, and three ...

    Text Solution

    |

  2. 20 persons are sitting in a particular arrangement around a circula...

    Text Solution

    |

  3. A is a set containing n different elements. A subset PofA is chosen. T...

    Text Solution

    |

  4. Numbers greater than 1000 but not greater than 4000 which can be fo...

    Text Solution

    |

  5. Find 5C2

    Text Solution

    |

  6. The number less than 1000 that can be formed using the digits 0, 1,...

    Text Solution

    |

  7. A variable name in certain computer language must be either an alph...

    Text Solution

    |

  8. The number of 5 digits numbers that contain 7 exactly once is

    Text Solution

    |

  9. The total number of flags with three horizontal strips in order, whi...

    Text Solution

    |

  10. Let A be a set of n(ge 3) distinct elements. The number of triplets (x...

    Text Solution

    |

  11. The number of possible outcomes in a throw of n ordinary dice in wh...

    Text Solution

    |

  12. In a room there are 12 bulbs of the same wattage, each having separate...

    Text Solution

    |

  13. In a city no two persons have identical set of teeth and there is n...

    Text Solution

    |

  14. Consider the five points comprising the vertices of a square and th...

    Text Solution

    |

  15. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  16. There are 3 men and 7 women taking a dance class. If N ils number ...

    Text Solution

    |

  17. Let S={1, 2, 3, 4} . The total number of unordered pairs of disjoint ...

    Text Solution

    |

  18. Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all a...

    Text Solution

    |

  19. The number of distinct natural numbers up to a maximum of four digi...

    Text Solution

    |

  20. In a three-storey building, there are four rooms on the ground floo...

    Text Solution

    |