Home
Class 9
MATHS
Which of the following cannot be the car...

Which of the following cannot be the cardinal number of the power set of any finite set?

A

26

B

32

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
A

Required answer cannot be expressed in the form of `2^(n),n in w`.
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|24 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Easy type|5 Videos
  • SALES TAX AND COST OF LIVING INDEX

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|14 Videos
  • SHARES AND DIVIDENDS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3)|10 Videos

Similar Questions

Explore conceptually related problems

Which of the following cannot be the number of elements in the power set of any finite set ?

Cardinal number of Sets

Which of the following cannot be the number of reflexive relation defined on a set A?

If A is the set of all the letters of the word HYDERABAD, then find the cardinal number of the power set of set P(A) .

Which of the following statement(s) is/are true? (A) Every subset of an infinite set is infinite. (B) Every set has a proper subset. (C) Number of subsets of every set is even. (D) Every subset of a finite set is finite

PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 1
  1. Which of the following cannot be the cardinal number of the power set ...

    Text Solution

    |

  2. Consider the following statements. p:3 in(1,(3),5,7) q, 2 in(1,(3,...

    Text Solution

    |

  3. If A=(1,2,3) and B=(2,6,7), then (A-B)cup(B-A)=

    Text Solution

    |

  4. If (x-y,x+y)=(2,8), then the values of x and y are respectively.

    Text Solution

    |

  5. If X=(x:x^(2)-12x+20=0) and Y=(x:x^(2)+5x-14=0) , then X-Y=

    Text Solution

    |

  6. The number of subsets of A xx B if n(A)=3 and n(B)=3 is

    Text Solution

    |

  7. If A=(1,2,3,4) then how many subsets of A contain the elements 3?

    Text Solution

    |

  8. In 'aRb' a and b have the same teacher', then R is

    Text Solution

    |

  9. A relation R:Zrarr2 is such that R={(x,y)//y=2x+1) is a

    Text Solution

    |

  10. If p(n) is the set of first n prime numbers, then underset(n=2)overset...

    Text Solution

    |

  11. If P(n) is the set of first n prime numbers, then underset(n=3)overset...

    Text Solution

    |

  12. If n(mu)=100,n(A)=50,n(B)=20 and n(A cap B)=10, then n[(AcupB)]=

    Text Solution

    |

  13. Let Z denote the set of integers, then (x in Z,|x-3|lt4cap{x inZ:|x-4|...

    Text Solution

    |

  14. If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and n itself is an integer}...

    Text Solution

    |

  15. If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)} is

    Text Solution

    |

  16. If n(AxxB) =45, then n(A) cannot be

    Text Solution

    |

  17. If A,B and C are three non=empty sets such that A and B are disjoint a...

    Text Solution

    |

  18. R and S are two sets such that n(R)=7 and R cap Snephi Further n(S)=6 ...

    Text Solution

    |

  19. Consider the following statements: (i) Every reflexive relation is a...

    Text Solution

    |

  20. The relation is not equal to is defined on the set of real numbers is ...

    Text Solution

    |