Home
Class 12
MATHS
Prove by the method of induction that if...

Prove by the method of induction that if A has n number of elements,then `|P(A)|=2^n`.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

  • STATISTICS

    MBD PUBLICATION|Exercise QUESTION BANK|13 Videos

Similar Questions

Explore conceptually related problems

Find the number of element of P(P(phi))

Find the number of element of P(P(P(phi)))

Find the number of element of P(P(P(P(phi))))

2^n gt n , n is a natural number.

Prove the following by induction. 1 + 2+ 3+….+ n = n(n+1)//2

An important method of fixation of atmospheric N_2 is:

Ox idation number of N in N_3H is:

n-hexadecane (or cetane) has cetane number:

If R be a relation on a finite set A having n elements, then the number of relations on A is-

MBD PUBLICATION-SETS-QUESTION BANK
  1. Find the number of element of P(P(P(phi)))

    Text Solution

    |

  2. Find the number of element of P(P(P(P(phi))))

    Text Solution

    |

  3. Prove by the method of induction that if A has n number of elements,th...

    Text Solution

    |

  4. Can you say how many elements P(P(A)) If A has n elements?

    Text Solution

    |

  5. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  6. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  7. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  8. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  9. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  10. An examination was conducted in physics, chemistry and mathematics. If...

    Text Solution

    |

  11. What can you say about the set, A,B,if A uu B = phi

    Text Solution

    |

  12. What can you say about the set, A,B,ifA Delta B =phi

    Text Solution

    |

  13. What can you say about the set, A,B,if A\\B =phi

    Text Solution

    |

  14. What can you say about the set, A,B,if A \\B =A

    Text Solution

    |

  15. What can you say about the set, A,B,ifA nn B =U.(where U is the univer...

    Text Solution

    |

  16. What can you say about the set, A,B,if A\B=U.(where U is the universal...

    Text Solution

    |

  17. Are difference and symmetric difference commutative ? Give reason.

    Text Solution

    |

  18. If B sub C, prove that A\\B =A\\C.Is this result true when difference ...

    Text Solution

    |

  19. Prove that (A \\B)\\C =(A\\C)\\B=A\\(B uu C)

    Text Solution

    |

  20. Prove that A nn(B uu C) =(A nn B) uu (A nn C)

    Text Solution

    |