Home
Class 11
MATHS
How many elements has P(A), if A=phi...

How many elements has `P(A)`, if` A=phi`

Text Solution

Verified by Experts

If there are `n` elements in set `A` then the number of element in P(A) are `2^n`
Now as` A=``varphi` given so we have the number of element in `P(A=phi)` are `(2^o)=1`
Therefore, `P(A)` has one element.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

How many elements has the Power set of A ,if A is an empty set ?

" How many elements has the Power set of "A" ,if "A" is an empty set ? "

How many elements are there in the third period ?

How many elements are found in nature?

How many element are present in the third period of the p-block elements ?

How many elements can be there in the third period ?

How many elements are present in the first transition series ?

RD SHARMA-SETS-Solved Examples And Exercises
  1. Write down all possible proper subsets each of the following set: {1,2...

    Text Solution

    |

  2. Write down all possible proper subsets each of the following set: {1}

    Text Solution

    |

  3. How many elements has P(A), if A=phi

    Text Solution

    |

  4. If A={1,2,3}a n d\ B={1,3,5,7},\ t h e n\ AuuB= {1,2,3,5,7} .

    Text Solution

    |

  5. If A={x : x=2n+1,\ n in Z}\ a n d\ B={x : x=2n ,\ n in Z} , then Auu...

    Text Solution

    |

  6. Let A={1,2,3},\ B={4,5},\ C={6,7,8} . Then AuuBuuC={1,2,3,4,5,6,7,8}

    Text Solution

    |

  7. If A={1,2,3,4,5} and\ B={1,3,9, 12} then AnnB={1,3}dot

    Text Solution

    |

  8. If A={1,2,3,4,5,6,7,8}\ a n d\ B={1,3,5,6,7,8,9},\ t h e n\ A-B={2,4},...

    Text Solution

    |

  9. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  10. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  11. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  12. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  13. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  14. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  15. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  16. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  17. Let A={x : x in N},\ B={x ; x2n ,\ n in N},\ C={x : x=2n-1, n in N}...

    Text Solution

    |

  18. Let A={x : x in N},\ B={x ; x2n ,\ n in N},\ C={x : x=2n-1, n in N}...

    Text Solution

    |

  19. Let A={x : x in N},\ B={x ; x2n ,\ n in N},\ C={x : x=2n-1, n in N}...

    Text Solution

    |

  20. Let A={x : x in N},\ B={x ; x=2n ,\ n in N},\ C={x : x=2n-1, n in N...

    Text Solution

    |