Home
Class 12
MATHS
Number of integral solutions to the equa...

Number of integral solutions to the equation `x + y + z = 21 `where `x ge 1, y ge 3, z ge 4,` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Let N be the number of integral solution of the equation x+y+z+w=15" where " x ge 0, y gt 5, z ge 2 and w ge 1 . Find the unit digit of N.

The number of integers solutions for the equation x+y+z+t=20 , where x,y,z t are all ge-1 , is

3x + 4y le 60, x ge 2y , x ge1 , y ge 0

x + 2y le 3, 3x + 4y ge 12, x ge 0, y ge 1

x +2y le 3, 3x + 4y ge 12 , x ge 0, y ge 1

Z = 2x + 3y x ge 0, y ge 0, 1 le x + 2y le10

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    Text Solution

    |

  2. Let alpha x = exp(x^(beta) y ^(gamma )) be the solution of differentia...

    Text Solution

    |

  3. Let a, b be two real numbers such that ab lt 0. If the complex number ...

    Text Solution

    |

  4. The sum of the absolute maximum and minimum values of the function f(x...

    Text Solution

    |

  5. Let 9 = x1 lt x2 lt ……lt x7 in an A.P. with common difference d. If th...

    Text Solution

    |

  6. The value of the integral int(-pi/4)^(pi/4)(x+pi/4)/(2-cos2x)dx is

    Text Solution

    |

  7. Let P(x0, y0) be the point on the hyperbola 3x^2 – 4y^2 = 36 which is ...

    Text Solution

    |

  8. Two dice are thrown independently. Let A be the event that the number ...

    Text Solution

    |

  9. Let f : R – {0, 1} rarr R be a function such that f(x) + f(1/(1-x))= 1...

    Text Solution

    |

  10. Let the plane P pass through the intersection of the planes 2x + 3y – ...

    Text Solution

    |

  11. The total number of six digit numbers, formed using the digits 4, 5, 9...

    Text Solution

    |

  12. Number of integral solutions to the equation x + y + z = 21 where x ge...

    Text Solution

    |

  13. Let the sixth term in the binomial expansion of (sqrt(2^(log2(10-3^x))...

    Text Solution

    |

  14. If the term without x in the expansion of (x^(2/3)+alpha/x^3)^22 is 73...

    Text Solution

    |

  15. The point of intersection C of the plane 8x + y + 2z = 0 and the line ...

    Text Solution

    |

  16. The sum of common terms of the following three arithmetic progressions...

    Text Solution

    |

  17. If int(0)^(pi)(5^(cosx)(1+cosxcos3x+cos^(2)x+cos^(3)xcos3x)dx)/(1+5^(c...

    Text Solution

    |

  18. If the x-intercept of a focal chord of the parabola y^2 = 8x + 4y + 4 ...

    Text Solution

    |

  19. Let alpha x + beta y + gamma z = 1 be the equation of a plane passing ...

    Text Solution

    |

  20. The line x = 8 is the directrix of the ellipse E : (x^2)/(a^2)+(y^2)/(...

    Text Solution

    |