Home
Class 12
MATHS
Show that n[P [P. (P(phi))) = 4...

Show that `n[P [P. (P(phi))) = 4 `

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster For Cracking Exam|25 Videos
  • RECTANGULAR COORDINATES, STRAIGHT LINES, FAMILY OF LINES

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOORSTER FOR CRACKING EXAM |30 Videos
  • SIMPLE INTEREST AND COMPOUND INTEREST

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster for Cracking Exam|25 Videos

Similar Questions

Explore conceptually related problems

Show that n{P{P(P(varphi))}}=4

Show that (i) ~ [ p ^^ ( ~p) ] is a tautology (ii) ~ [ p vee ( ~ p)] is a contradication.

Let P(n) denote the statement: 2^(n)ge n! .Show that P(1),P(2),P(3) are true butP(4) is not true.

Show that two cardioids p = a(1 + cos phi) and p = a (1 - cos phi) intersect at right angles

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.

If A and B are two events such that A nn B!>phi,p((A)/(B))=P((B)/(A))* Then

Suppose P{S) denote the power set of the set S. Let A = {1}. If the number of elements in the P(P(P(P(A)))) is 4n then n =__

If P_(n) denotes the product of all the coefficients in the expansion of (1+x)^(n), n in N , show that, (P_(n+1))/(P_(n))=((n+1)^(n))/(n!) .

The cardinality of the set P{P[P(phi)]} is

Show that ""^(n)P_(n)=2""^(n)P_(n-2)

ARIHANT PUBLICATION BIHAR-SETS, RELATIONS AND FUNCTIONS-Exam Booster For Cracking Exam
  1. If A={1,B},where B = {2,3}.Then, P(A) is equal to

    Text Solution

    |

  2. Show that n[P [P. (P(phi))) = 4

    Text Solution

    |

  3. If A= {a, b, c, d} andB = {b, c, e}, then A cup B is equal to

    Text Solution

    |

  4. If A = { a, b, c} and B = { b, c, e}, then A cap B is equal to

    Text Solution

    |

  5. If A = {a, b, c} and B = {b, c, d, e} be two subsets of the universal ...

    Text Solution

    |

  6. If A = {1, 4, 7, 8}, B= {4, 6, 8, 9} and C= {3, 4, 5, 7} be three subs...

    Text Solution

    |

  7. In a group of 850 persons, 600 can speak Hindi and 340 can speak Tamil...

    Text Solution

    |

  8. In a group of 52 persons, 16 drink tea but not coffee and 33 drink tea...

    Text Solution

    |

  9. If A = {a, b, c, e,f},B = {c, d, e,g} and C = {b, c,f,g}. Then, A - ( ...

    Text Solution

    |

  10. If A={1,2,3},B={3,4} and C={4,5,6}. Then, A xx ( B cup C ) is equal to

    Text Solution

    |

  11. A and B are two sets given in such a way that A xx B contains 6 elemen...

    Text Solution

    |

  12. In a group of 60 persons, 40 persons like play cricket and 10 persons...

    Text Solution

    |

  13. If A= {1,2,3,6} and B= (2,4,6) be two sets of universal set U= {1,2,3,...

    Text Solution

    |

  14. If n ( C cup T ) = 70, n ( C ) = 37 and n ( T ) = 35. Then, n ( C cap ...

    Text Solution

    |

  15. If n ( A cup B ) = 727 , n ( A ) = 600 and n ( A cap B) = 127. Then, n...

    Text Solution

    |

  16. In a class, 300 students speak Hindi, 150 students speak English and 1...

    Text Solution

    |

  17. There are 6000 people in a village, out of which 3500 people read Hind...

    Text Solution

    |

  18. If U= {1,2,3,4,..,10} and A= {1,2,3,4}. Then, (A') is equal to

    Text Solution

    |

  19. The number of non-empty subsets of { 1, 2, 3} is

    Text Solution

    |

  20. The number of proper subsets of { 1, 2, 3} is

    Text Solution

    |