Home
Class 12
MATHS
If a set has n elements then the total n...

If a set has n elements then the total number of subsets of A is

A

`n`

B

` n^(2)`

C

`2^(n)`

D

`2 n`

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

If a set A has 4 elements then total number of proper subsets of set A is

If a set A has 4 elements , then the total number of proper subsets of set A is :

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The value of m - n is

Two finite sets have m and n elements respectively . The total number of subsets of first set is 56 more than the total number of subsets of the second. Find the values of m and n.

Statement-1 If a set A has n elements, then the number of binary relations on A = n^(n^(2)) . Statement-2 Number of possible relations from A to A = 2^(n^(2)) .

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

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are , respectively :

A set A has 5 element. Then the maximum number of relations on A (including empty relation) is

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 the set A has 3 elements and the set B has 4 elements, then the number of injections (one - one ) that can be defined from A to B is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  2. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  3. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  4. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  5. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |

  6. Sets A and B have 3 and 6 elements respectively. What can be the minim...

    Text Solution

    |

  7. If the sets A has p elements, B has q elements, then number of element...

    Text Solution

    |

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

    Text Solution

    |

  9. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  10. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  11. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  12. If A = {x:x^2-5x+6=0}, B = {2, 4}, C = {4, 5}, then Axx(B nn C) =

    Text Solution

    |

  13. If two sets A and B are having 99 elements in common, then the number ...

    Text Solution

    |

  14. Consider n(U)=20 , n (A) =12, n(B)=9, n(A nn B) =4, where U is the uni...

    Text Solution

    |

  15. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  16. In a city 20 percent of the population travels by car, 50 per cent tra...

    Text Solution

    |

  17. If A and B are not disjoint sets, then n(A uu B)=

    Text Solution

    |

  18. In a college of 300 students , every student reads 5 newspapers and ev...

    Text Solution

    |

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

    Text Solution

    |

  20. If f(x)=(a-x^(n))^(1 / n), then f(f(x))=

    Text Solution

    |