Home
Class 14
MATHS
Find the integral solutions of |x|+|y|+|...

Find the integral solutions of |x|+|y|+|z|=12.

A

A) 578

B

B) 289

C

C) 287

D

D) none of above

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos
  • PROBABILITY

    QUANTUM CAT|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

Find the number of integral solutions of x+y+z+y 2,y>1,z>=2,w>=0

Find out the integral solution for xy=2x-y

Find the number of non-negative integral solutions of x+y+z+w<=20.

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

Find the integral solutions to the equation [x][y]=x+y. Show that all the non-integral solutions lie on exactly two lines.Determine these lines.Here [.] denotes greatest integer function.

Find the number of positive integral solutions of the equation x+y+z=12.

(a) Find the non-negative integral solutions of the equation x+y+z+t=15 , (b) Find the number of non-negative integral solutions x_(1)+x_(2)+x_(3)+4x_(4)=20

Number of positive integral solutions of xyz=10! of ordered triplets (x,y,z) is :

QUANTUM CAT-PERMUTATIONS & COMBINATIONS-QUESTION BANK
  1. Two numbers X and Y are respectively 20% and 28% less than a third num...

    Text Solution

    |

  2. If x^2+1/(x^2)=34, then x+1/x is equal to

    Text Solution

    |

  3. Find the integral solutions of |x|+|y|+|z|=12.

    Text Solution

    |

  4. In an election 2 candidates participate, 20% of the votes are declared...

    Text Solution

    |

  5. The roots of the equation (x + 3) (x - 3) = 160 are

    Text Solution

    |

  6. Find the number of terms in (x+y)^n

    Text Solution

    |

  7. Find the total number of terms in the expansion (a+b+c)^2.

    Text Solution

    |

  8. Find the total number of terms in (1+x+x^2)^3.

    Text Solution

    |

  9. What is the coefficient of x^2y^3z^5 in (x+y+z)^(10) ?

    Text Solution

    |

  10. Answers these questions based on the following information. A film l...

    Text Solution

    |

  11. Answers these questions based on the following information. A film l...

    Text Solution

    |

  12. Answers these questions based on the following information. A film l...

    Text Solution

    |

  13. Answers these questions based on the following information. A film l...

    Text Solution

    |

  14. Answers these questions based on the following information. A film l...

    Text Solution

    |

  15. Answers these questions based on the following information. A film l...

    Text Solution

    |

  16. Answers these questions based on the following information. A film l...

    Text Solution

    |

  17. Answers these questions based on the following information. A film l...

    Text Solution

    |

  18. Answers these questions based on the following information. A film l...

    Text Solution

    |

  19. The solution of (2x+3)/(2x-1)=(3x-1)/(3x+1)

    Text Solution

    |

  20. The ratio between the speeds of two cars is 5:8. If the first car cove...

    Text Solution

    |