Home
Class 12
MATHS
The correct statements of the following...

The correct statements of the following

A

`100!+1` is not divisible by any natural number between `2` and `100`.

B

If `n` objects in a row, then the number of ways of selecting two of these objects such that they are not next to each other is `.^(n-1)C_(2)`.

C

The number of ways in which we can arrange 20 white identical and 20 black identical balls in a row, so that neighbouring balls are of different colors is 2

D

none of these

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The correct statement for the following addition reactions is (are)

Choose the correct statement of the following.

The correct statement from the following is

The correct statement in the following is

Choose the correct statements from the following

RESONANCE-TEST PAPERS-MATHEMATICS
  1. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  2. For N=50400 the number of divisor of N, which are divisible by 6, divi...

    Text Solution

    |

  3. The correct statements of the following

    Text Solution

    |

  4. A ship is fitted with three engines E1, E2, and E3,. The engines funct...

    Text Solution

    |

  5. There are n identical red balls & m identical green balls. The number ...

    Text Solution

    |

  6. Let N be the number of ways in which 10 different prizes be given to 5...

    Text Solution

    |

  7. A lot contains 50 defective and 50 non-defectivebulbs. Two bulbs are d...

    Text Solution

    |

  8. For any two events A and B in a sample space, choose the correct optio...

    Text Solution

    |

  9. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

  10. Let veca=hati-hatj+hatk, vecb=2hati+hatj and vecc=3hatj-2hatk,vecx,vec...

    Text Solution

    |

  11. If g(x) is monotonically increasing and f(x) is monotonically decreasi...

    Text Solution

    |

  12. The radius of a right circular cyliner increases at a constant rate. I...

    Text Solution

    |

  13. Let f(x)=2sin^(3)x+lamdasin^(2)x,-(pi)/2ltxlt(pi)/2. If f(x) has exact...

    Text Solution

    |

  14. The function f(x)= xcos(1/x^2) for x != 0, f(0) =1 then at x = 0, f(x)...

    Text Solution

    |

  15. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  16. The vector equations of two lines L(1) and L(2) are respectively r=17i...

    Text Solution

    |

  17. If r=i+j+lamda(2i+j+4k) and r.(i+2j-k)=3 are the equations of a line a...

    Text Solution

    |

  18. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  19. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  20. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |