Home
Class 12
MATHS
The number of subsets of the set A={a(1)...

The number of subsets of the set `A={a_(1),a_(2), . . .,a_(n)}` which contain even number of elements is

A

`2^(n-1)`

B

`2^(n)-1`

C

`2^(n)-2`

D

`2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

The number of all three element subsets of the set {a_(1),a_(2),a_(3)......a_(n)} which contain a_(3) , is

If one quarter of all three element subsete of the set A={a_(1),a_(2),a_(3),......,a_(n)} contains the element a_(3) , then n=

The number of subsets of a set containing n elements is

If a_(1), a_(2),….,a_(n) are n(gt1) real numbers, then

The number of all subsets of a set containing 2n+1 elements which contains more than n elements is

If A_(1), A_(2),..,A_(n) are any n events, then

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

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

The number of real roots of the equation 1+a_(1)x+a_(2)x^(2)+………..a_(n)x^(n)=0 , where |x| lt (1)/(3) and |a_(n)| lt 2 , is

Find the number of ways in which 10 condidates A_(1),A_(2),......,A_(10) can be ranked so that A_(1) is always above A_(2) ,

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-2
  1. The number of subsets of the set A={a(1),a(2), . . .,a(n)} which conta...

    Text Solution

    |

  2. In a class tournament, all participants were to plan different game...

    Text Solution

    |

  3. In the next world cup of cricket there will be 12 teams, divided equal...

    Text Solution

    |

  4. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked...

    Text Solution

    |

  5. The number of 6 digit numbers that can be made with the digits 1, 2, 3...

    Text Solution

    |

  6. the last two digits in X=sum(k=1)^100 k!

    Text Solution

    |

  7. In the club election, the number of contestants is one more than the n...

    Text Solution

    |

  8. A person predicts the outcome of 20 cricket matches of his home tea...

    Text Solution

    |

  9. The number of different seven-digit numbers that can be written usin...

    Text Solution

    |

  10. The number of ways in which a score of 11 can be made from a through t...

    Text Solution

    |

  11. A mint prepares metallic calendars specifying months, dates and days i...

    Text Solution

    |

  12. if E=1/4. 2/6. 3/8. 4/10.............30/62. 31/64=8^x then the value ...

    Text Solution

    |

  13. For a set of four multiple choice questions with three options (multip...

    Text Solution

    |

  14. Let Tn denote the number of triangles, which can be formed using th...

    Text Solution

    |

  15. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

  16. Let E = [(1)/(3) + (1)/(50)]+[(1)/(3)+(2)/(50)]+[(1)/(3)+(3)/(50)]+……....

    Text Solution

    |

  17. The number of ways in which we can choose 2 distinct integers from 1 t...

    Text Solution

    |

  18. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

    Text Solution

    |

  19. If r,s,t are prime numbers and p,q are the positive integers such that...

    Text Solution

    |

  20. If x,y in (0,30) such that [x/3]+[(3pi)/2]+[y/2]+[(3pi)/4]=11/6x+5/4...

    Text Solution

    |