Home
Class 11
MATHS
A set contains 2n+1 elements. The numbe...

A set contains 2n+1 elements. The number of subsets of this set containing more than n elements :

A

`2 ^(n -1)`

B

`2 ^(n)`

C

`2 ^(n+1)`

D

`2 ^(2n)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

A set contains (2n+1) elements.If the number of subsets of this set which contain atmost n elements is 4096, then n is

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

A set contains 5 elements. The number of subsets of the set which contain atmost n element is

The number of all possible subsets of a set containing n elements?

If a set X contains n(n>5) elements,then what is the number of subsets of X containing less than 5 elements

A set constant n elements. The power set of this set contains.

What is the total number of proper subsets of a set containing n elements?

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. Two sets A and B are as under A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt...

    Text Solution

    |

  2. If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A ...

    Text Solution

    |

  3. A set contains 2n+1 elements. The number of subsets of this set conta...

    Text Solution

    |

  4. If X={4^(n)-3n-1 : n in N} and Y={9(n-1) : n in N}, then

    Text Solution

    |

  5. Let A= {a,b,c} and B={1,2,3,4}. Consider a relation R defined from set...

    Text Solution

    |

  6. If A = {a,b,c} , B={b,c,d} and C = {a,d,c}, then (A-B)xx (B nnC)=

    Text Solution

    |

  7. If P, Q and R are the subsets of a set A, then prove that Rxx(P^(c )uu...

    Text Solution

    |

  8. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  9. If two sets A and B are having 99 elements in common, the number of el...

    Text Solution

    |

  10. Let A and B be two sets containing four and two elements respective...

    Text Solution

    |

  11. Let A = {x,y,z} and B = {a,b,c,d} . Which one of the following is not ...

    Text Solution

    |

  12. R sube A xx A (where A ne 0 ) is an equivalence relation if R is

    Text Solution

    |

  13. In order that a relation R defined on a non-empty set A is an equivale...

    Text Solution

    |

  14. The number of reflexive relations of a set with four elements is equal...

    Text Solution

    |

  15. If a relation R on the set N of natural numbers is defined as (x,y)hAr...

    Text Solution

    |

  16. let A = {2,4,6,8}. A relation R on A is defined by R= {(2,6),(6,2),(4,...

    Text Solution

    |

  17. The relation R defined in N as aRbimpliesb is divisible by a is

    Text Solution

    |

  18. Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9(,(3,12),(3,6)} be relatio...

    Text Solution

    |

  19. The relation S = {(3,3),(4,4)} on the set A ={2,3,4} is "".

    Text Solution

    |

  20. let S ={1,2,3,…,24}. Define a relation '~' on S as x ~y is the product...

    Text Solution

    |