Home
Class 12
MATHS
There are n identical red balls & m iden...

There are n identical red balls & m identical green balls. The number of different linear arrangements consisting of "n red balls but not necessarily all the green balls" is `"^xC_y` then (A) x=m+n , y=m (B) x=m+n+1, y=m (C) x=m+n+1, y=m+1 (D) x=m+n, y=n

A

`x=m+n`

B

`y=m`

C

`x=m+n+1`

D

`y=n`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If (x+y)^(m+n)=x^my^n then dy/dx= (A) x/y (B) -y/x (C) -x/y (D) y/x

If x^m y^n = (x+y)^(m+n) then find (dy)/(dx) at x=1, y=2

The number of ways of distributing 4 identical red balls, 1 white ball, 1 green ball, 1 black ball among 4 persons if each receives atleast one ball and no one gets all identical red balls are equal to n then the value of n/104 is equal to _____________

7 lf If log (x y m 2n and log (x4 y n 2m, then log X is equal to (A) (B) m-n (c) men (D) m n

If m red balls and n white balls are placed in a row so that no two white balls are together, prove that if m gt n , the total number of ways in which this can be done is ""^(m+1)C_(n) .

if x^(m)*y^(n)=1 then (dy)/(dx)

RESONANCE-TEST PAPERS-MATHEMATICS
  1. The correct statements of the following

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |