Home
Class 11
MATHS
The total number of positive integral so...

The total number of positive integral solution of `15 < x_1+x_2+x_3 lt= 20` is equal to a. `685` b. `785` c. `1125` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is

If N is the number of positive integral solutions of x_1 cdot x_2 cdot x_3 cdot x_4 = 770 , then

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

Find the number of positive integral solutions of x y z=21600.

Find the number of positive integral solutions of the inequality 3x+y+zlt=30.

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt(10)))

Statement-1: If N the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=770 , then N is divisible by 4 distinct prime numbers. Statement-2: Prime numbers are 2,3,5,7,11,13, . . which of the statements are true ?

The number of positive integral solutions of the equation |(x^3+1,x^2y,x^2z),(xy^2,y^3+1,y^2z),(xz^2,z^2y,z^3+1)|=11 is

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Kanchan has 10 friends among whom two are married to each other. She...

    Text Solution

    |

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

    Text Solution

    |

  3. The total number of positive integral solution of 15 < x1+x2+x3 lt= 20...

    Text Solution

    |

  4. A train time table must be compiled for various days of the week, so t...

    Text Solution

    |

  5. The streets of a city are arranged like the lines of a chess board. ...

    Text Solution

    |

  6. A batsman scores exactly a century by hitting fours and sixes in 20...

    Text Solution

    |

  7. In how many ways can 2t+1 identical balls be placed in three distinct ...

    Text Solution

    |

  8. John has x children by his first wife,. Mary has (k + 1) children by h...

    Text Solution

    |

  9. let a1,a2,...an be in A.P. wth common difference pi/6. If seca1seca2+s...

    Text Solution

    |

  10. Six apples and six mangoes are to be distributed among ten boys so ...

    Text Solution

    |

  11. Find the number of ways in which we can choose 3 squares on a chess...

    Text Solution

    |

  12. If alpha= ""^m C2, then ""^(alpha)C2 is equal to a. ""^(m+1)C4 b...

    Text Solution

    |

  13. Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in ...

    Text Solution

    |

  14. Number of ways in which 7 people can occupy 6 seats, 3 seats on each...

    Text Solution

    |

  15. There are 20 books on Algebra and Calculus in one library. For the ...

    Text Solution

    |

  16. Let Pn denotes the number of ways in which three people can be selecte...

    Text Solution

    |

  17. An n-digit number is a positive number with exactly n Nine hundred dis...

    Text Solution

    |

  18. There are 2 women participating in a chess tournament. Every partic...

    Text Solution

    |

  19. Five balls of different color are to be placed in three boxes of dif...

    Text Solution

    |

  20. A seven-digit number without repetition and divisible by 9 is to be fo...

    Text Solution

    |