Home
Class 12
MATHS
The number non-negative integral solutio...

The number non-negative integral solutions of `x_(1)+x_(2)+x_(3)+x_(4) le n` (where n is a positive integer) is:

A

`""^(n+3)C_(3)`

B

`""^(n+4)C_(4)`

C

`""^(n+5)C_(5)`

D

`""^(n+4)C_(n)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

The number of non-negative integral solution x_1 + x_2 + x_3 + x_4 <=n (where n is a positive integer) is :

The number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20 is

Find the number of non-negative intergral solutions of x_(1)+x_(2)+x_(3)+x_(4)=20 .

The total number of non-negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4)=100 , is

The number of non negative integral solutions of 3x+y+z=24 is

If n is the number of positive integral solutions of x_1 x_2 x_3 x_4 = 210 . Then

The number of non-negative integral solutions of x+y+z<=n, where n in N is

The number of integral solutions of (x+1)/(x^2+2)>1/4 is

If n is the number of positive integral solution of x_(1), x_(2)x_(3)x_(4) = 210 , then which of the following is incorrect ?

The number of positive integral solutions of the equation x_(1)x_(2)x_(3)=60 is:

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-2
  1. If n dice are rolled, then number of possible outcomes is:

    Text Solution

    |

  2. Number of ways in which three numbers in A.P. can be selected from ...

    Text Solution

    |

  3. The number non-negative integral solutions of x(1)+x(2)+x(3)+x(4) le n...

    Text Solution

    |

  4. which of the following statements is/are incorrect?

    Text Solution

    |

  5. The continued product 2.6.10.14…..(n times) in equal to

    Text Solution

    |

  6. The combinatorial coefficients ""^(n – 1)C(p) denotes

    Text Solution

    |

  7. Which of the following statements are correct?

    Text Solution

    |

  8. P=n(n^(2)-1)(n^(2)-4)(n^(2)-9)…(n^(2)-100) is always divisible by , (...

    Text Solution

    |

  9. Let n be a positive integer and define f(n)=1!+2!+3!+…+n!. Find polyno...

    Text Solution

    |

  10. Consider seven digit number x1,x2,...,x7, where x1,x2,..,x7 != 0 havin...

    Text Solution

    |

  11. A woman has 11 close friends. Number of ways in which she can invite 5...

    Text Solution

    |

  12. On the normal chess board as shown, I1, &amp; I2, are two insects whic...

    Text Solution

    |

  13. There are 12 points in a plane of which 5 are collinear. The maximum n...

    Text Solution

    |

  14. There are 10 seats in the first row of a theatre of which 4 are to be ...

    Text Solution

    |

  15. A man is at the origin on the x-axis and takes a unit step either to t...

    Text Solution

    |

  16. For the equation x + y + z +omega= 19, the number of positive integral...

    Text Solution

    |

  17. Find the number of non-negative integral solutions of x1+x2+x3+4x4=20.

    Text Solution

    |

  18. 10 persons are to be arranged in a circular fashion so that in no two ...

    Text Solution

    |

  19. The Number of ways in which five different books to be distributed amo...

    Text Solution

    |

  20. Number of ways in which the letters of the word ‘B U L B U L’ can be a...

    Text Solution

    |