Home
Class 12
MATHS
The number of positive integers with the...

The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

A

1

B

100

C

infinite

D

0

Text Solution

Verified by Experts

The correct Answer is:
C

`.^(n)C_(2), n in N`, infinite numbers.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

How many natural numbers are there with the property that they can be expressed as the sum of the cubes of two natural numbers in two different ways.

The sum of first 20 positive integers will be :

Sum of first 20 positive integers will be :

The number of positive integer solutions of ab-24=2a is

The sum of any two positive integers is greater than both the integers.

Which of the following can be expressed as the sum of square of two positive integers,as well as three positive integers?

The sum of two negative integers is a positive integer.

The sum of first 40 positive integers divisible by 6 is

Number of positive integers which have no two digits having the same value with sum of their digits being 45 ,is

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Single Option Correct Type Questions)
  1. The number of positive integers satisfying the inequality C(n+1,n-2)-C...

    Text Solution

    |

  2. The number of ways in which a score of 11 can be made from a throw by ...

    Text Solution

    |

  3. The number of positive integers with the property that they cann be ex...

    Text Solution

    |

  4. In a plane there are 37 straight lines, of which 13 pass pass through ...

    Text Solution

    |

  5. If a denotes the number of permutations of (x+2) things taken all at a...

    Text Solution

    |

  6. The number of numbers less than 1000 than can be formed out of the dig...

    Text Solution

    |

  7. If the permutations of a, b, c, d, e taken all together be written dow...

    Text Solution

    |

  8. On a railway there are 20 stations. The number of different tickets re...

    Text Solution

    |

  9. A is a set containing n elements. A subset P of A is chosen at random....

    Text Solution

    |

  10. The straight lines I(1),I(2),I(3) are paralled and lie in the same pla...

    Text Solution

    |

  11. Let A be a set of n (>=3) distinct elements. The number of triplets (x...

    Text Solution

    |

  12. The total number of five-digit numbers of different digits in which...

    Text Solution

    |

  13. The total number of words that can be formed using all letters of the ...

    Text Solution

    |

  14. A man has three friends. The number of ways he can invite one frien...

    Text Solution

    |

  15. The number of three digit numbers of the form xyz such that x lt y , z...

    Text Solution

    |

  16. The letters of the word 'MEERUT' are arranged in all possible ways as ...

    Text Solution

    |

  17. The number of ways in which 10 condidates A(1),A(2),......,A(10) can b...

    Text Solution

    |

  18. Let A be the set of 4-digit numbers a1 a2 a3 a4 where a1 > a2 > a3 > a...

    Text Solution

    |

  19. Find the number of distinct rational numbers x such that o<x<1a n dx=p...

    Text Solution

    |

  20. The total number of positive integral solutions for (x, y, z) such tha...

    Text Solution

    |