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

The set `S= {1,2,3 …….. 12}` is to be partitioned into three sets A,B,C equal size .Thus.
`A uu B uu C = S ,a nn B = B nn C = A nn C= phi` the number of partitions of S is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

The set S={1,2,3,…, 12} is to be partioned into three sets A,B, C of equal size. Thus , A uu B uu C =S , A nn B = B nn C = A nn C = phi . The number of ways to partition S is :

The set ( A uu B uu C) nn (A nn B^c nn C^c)^c nn C^c equals :

If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nnC , then :

If A = A uu B , prove that B = A nn B .

If A,B and C are three sets such that A nn B= A nn C and A uu B=A uu C , then :

If A ,B and C are any three sets , then A x (B uu C ) is :

Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .

If A and B are two sets , then A nn (A uu B) equals :

If A and B are two sets , then A nn (A uu B) equals :

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. if int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2)) log f(x ) + c w...

    Text Solution

    |

  2. int (sin^(-1))/(sqrt(1+x)) dx=

    Text Solution

    |

  3. int (cos^(n-1))/( sin^(n+1)) dx , n ne 0 is :

    Text Solution

    |

  4. The value of the intergral underset(0)overset(pi//2)(int) (sin^(100)...

    Text Solution

    |

  5. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  6. The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the...

    Text Solution

    |

  7. If m and n are the order and degree of the different equatin : ...

    Text Solution

    |

  8. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  9. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  10. Equation of the plane perpendicular to the line (x )/(1) = (y )/...

    Text Solution

    |

  11. The line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is parallel to the plane

    Text Solution

    |

  12. A space vector makes angles 150^(@) and 60^(@) with the positive ...

    Text Solution

    |

  13. If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...

    Text Solution

    |

  14. If hat(i) , hat(j) ,hat(k) are unit vectors alng the positive dir...

    Text Solution

    |

  15. A and B are two events such that P(A)!=0, P(B//A) is

    Text Solution

    |

  16. Two dice are thrown simultaneously, the probability of obtaining a tot...

    Text Solution

    |

  17. If the events A and B are independent if P (A ) = (2)/(3) and P (...

    Text Solution

    |

  18. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

    Text Solution

    |

  19. A Class has 175 students .The following data shown the number of s...

    Text Solution

    |

  20. The set S= {1,2,3 …….. 12} is to be partitioned into three sets A,B...

    Text Solution

    |