Home
Class 12
MATHS
Verify that |P({a,b,c})|=2^3...

Verify that `|P({a,b,c})|=2^3`

Text Solution

Verified by Experts

Let `A={a,b,c} :.P(A)={{a},{b},{b,c},A,phi}`
`:.P(A)=4=2^3`
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

Verify that |P({a,b})|=2^2

Verify that |P({a})| =2^1

Verify that |P(phi)|=2^@

Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc) I=0 where I is the 2 x 2 unit matrix.

If A=[(1,2),(2,3),(3,4)]and B=[(2,3,0),(1,2,3)], then verify that (AB)^T=B^TA^T .

Verify that (AB)^-1=B^-1A^-1 if A=[[2,3,],[1,-1,]],B=[[0,1,],[3,1,]]

Verify that (AB)^(T) = B^(T)A^(T) where A=|[1,-2,2],[3,1,-1]| and B=|[2,4],[1,2],[3,-2]| .

Verify that (AB)^-1=B^-1A^-1 if A=[[1,2,3,],[4,5,6,],[7,8,9,]],B=[[1,2,0,],[2,3,-1,],[1,-1,3,]]

MBD PUBLICATION-SETS-QUESTION BANK
  1. Verify that|P({a})| =2^1

    Text Solution

    |

  2. Verify that|P({a,b})|=2^2

    Text Solution

    |

  3. Verify that |P({a,b,c})|=2^3

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |