Home
Class 12
MATHS
The set S={1,2,3….12} is to be partition...

The set S={1,2,3….12} is to be partitioned into three sets A,BC of equal size Thus `A cup B cup C =S ,A cap B =B capC=A cap C=varphi` the number of ways to partitions S is

A

`(12!)/(3!(4!^(3))`

B

`(12!)/(3!(4!^(4))`

C

`(12!)/(4!^(3))`

D

`(12!)/(3!^(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • SEQUENCES AND SERIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

A cup (B cap C)= ………..

If A,B,C are three events , Show that p( cup B cup C)= P(A)+P(B) + P( C) -P (A cap B) - P (B cap C) -P ( C cap A)+ P(A cap B cap C )

S is a relation over the set R^(+) of all real numbers and it is given by (a,b)in S iff ab gt 0 Then S is

Suppose A and B are events of a random experiment such that P(A) = 1/3 , P (A cap B) = 1/5 and P(A cup B) = 3/5 . Then, match the items of List-I with the items of List-II

If A, B and C are three sets such that A nn B=A nn C and AuuB=AuuC , then

If A, B, C are three sets and S in the universal set such that n(S) = 900, n(A) = 400,n(B) = 250 " and" n (A cap B) = 150", then " n(A' cap B') =

Set A,B,C, A cap B, A cap B, Acap C, B cap C and A cap B cap C have 35, 40, 45, 13, 12, 14 and 5 elements respectively. An element is selected at random from the set a cup V cup C . The probability that the selected element belongs to only set A is

DIPTI PUBLICATION ( AP EAMET)-RELATIONS-Exercise
  1. The relation II is

    Text Solution

    |

  2. For , n m in N,n I m means that n is a factor of m the relation is

    Text Solution

    |

  3. Let x,y in Z and suppose that a relation R on Z is defined by x R y ...

    Text Solution

    |

  4. The relation " son of " is

    Text Solution

    |

  5. In the set of all triangles "similarity is

    Text Solution

    |

  6. A and B are two sets having 3 and 4 elements respectively and having 2...

    Text Solution

    |

  7. If the relation R:A rarr B where A={1,2,3,4} and B={1,3,5} is defined...

    Text Solution

    |

  8. Let R={(x,y):x,y in A,x+y=5} where A= { 1,2,3,4,5} then

    Text Solution

    |

  9. Let R be relation on a set A such that R=R^(-1) then R is

    Text Solution

    |

  10. For x,y in R define a relation R by x R y if and only if x-y +sqrt(2) ...

    Text Solution

    |

  11. If R and S are two symmetric relation then

    Text Solution

    |

  12. f is a relation on the set R of real numbers defined (a,b) in f rarr 1...

    Text Solution

    |

  13. Let W denote the words in the english dicitionary define the relatio...

    Text Solution

    |

  14. If A={1,2,3} the number of reflexive relations in A is

    Text Solution

    |

  15. If A={1,2,3} the number of symmetric realtions in A is

    Text Solution

    |

  16. Let R={ (1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2...

    Text Solution

    |

  17. The set S={1,2,3….12} is to be partitioned into three sets A,BC of equ...

    Text Solution

    |

  18. Let R be the relation on the set R of all real numbers defined by a R ...

    Text Solution

    |

  19. The relation "less than " in the set of natural numbers is

    Text Solution

    |

  20. Let N denote the set of all natural numbers and R be the relation on N...

    Text Solution

    |