Home
Class 12
MATHS
Number of non - negative integral soluti...

Number of non - negative integral solutions of `a+b+c+d=n,n in N,` is :

A

`""^(n+3)P_2`

B

`((n+1)(n+2)(n+3))/6`

C

`""^(n+1)P_(n-4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|6 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

Similar Questions

Explore conceptually related problems

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

Number of non-negative integral solutions of the equation a+b+c=6 is

Find the number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20.

Sum of non - negative integral solutions of : x_1+x_2+.......+x_nle x (where n is +ve integer ) is :

The number of terms in the expansion of (a+b+c)^(n), where n in N is:

Let n denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let b_n = the number of such n-digit integers ending with digit 1 and c_n = the number of such n-digit integers ending with digit 0. The value of b_6 , is

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is

Find the number of integral value of n so that sinx(sinx+cosx)=n has at least one solution.

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 3/4

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Multiple Choice Questions - LEVEL - II
  1. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  2. In a city no two person have identical set of teeth and there is no pe...

    Text Solution

    |

  3. Number of non - negative integral solutions of a+b+c+d=n,n in N, is :

    Text Solution

    |

  4. The straight lines , l1,l2 and l3 are parallel and lie in the same pla...

    Text Solution

    |

  5. Seven different lecturers are to deliver lectures in seven periods of ...

    Text Solution

    |

  6. A shop keeper sells three varieties of perfumes and he has a large num...

    Text Solution

    |

  7. On a railway there are 20 stations. The number of different tickets r...

    Text Solution

    |

  8. The sum of all 4 digit number that can be formed by using the digits 2...

    Text Solution

    |

  9. The greatest common divisor of : ""^(31)C(16),^(31)C(17),..........,...

    Text Solution

    |

  10. Mr. P has m children from his first wife and Mrs. Q has m + 1 children...

    Text Solution

    |

  11. Five distinct letters are to be transmitted through a communication ch...

    Text Solution

    |

  12. All the letters of the word ' EAMCET '' are arranged in all possible w...

    Text Solution

    |

  13. The different letters of alphabet are given words with five letters ar...

    Text Solution

    |

  14. The number of ways in which four particular persons A,B,C,D and six mo...

    Text Solution

    |

  15. The total number of arrangements of the letters in the expansion a^3b^...

    Text Solution

    |

  16. There are 2m horizontal lines equispaced at unit distance and 2n verti...

    Text Solution

    |

  17. At an election , a voter may vote for any number of candidates , not...

    Text Solution

    |

  18. The letters of the word ' COCHIN ' are permuted and all permutations a...

    Text Solution

    |

  19. How many different words can be formed by jumbling the letters of word...

    Text Solution

    |

  20. .The number of ordered triplets of positive integers which are solutio...

    Text Solution

    |