Home
Class 12
MATHS
The number of ways in which we can choos...

The number of ways in which we can choose 2 distinct integers from 1 to 100 such that difference between them is at most 10 is

A

`""^(100)C_(2)-""^(90)C_(2)`

B

`""^(100)C_(96)-""^(90)C_(88)`

C

`""^(100)C_(2)-""^(90)C_(88)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-I)|3 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-II)|3 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The number of ways in which we can choose 2 distinct integers from 1 to 200 so that the differecne between them is atmost 20 is

The number of ways in which we can choose two positive integers from 1 to 100 such that their product is multiple of 3 is

The number of ways in which 15 boys and 2 girls can sit in a row such that between the girls at the most 2 boys sit is

The number of ways in which n distinct balls can be put into three boxes, is

The number of ways to choose 7 distinct natural numbers from the first 100 natural numbers such that any two chosen numbers differ atleast by 7 can be expressed as ""^(n)C_(7) . Find the number of divisors of n.

FIITJEE-MATHEMATICS TIPS-MCQ (MULTIPLE CORRECT)
  1. Let vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk and vec( c )=hati+ha...

    Text Solution

    |

  2. If P(z(1)),Q(z(2)),R(z(3)) " and " S(z(4)) are four complex numbers re...

    Text Solution

    |

  3. The largest coefficient in the expansion of (4+3x)^(25) is

    Text Solution

    |

  4. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

    Text Solution

    |

  5. If Deltar=|[2^(r-1),1/(r(r+1)),sin rtheta],[x, y, z],[2^n-1, n/(n+1),(...

    Text Solution

    |

  6. If a, b, c are even natural numbers, then Delta=|{:(a-1,a,a+1),(b-1,b,...

    Text Solution

    |

  7. There are n locks and n matching keys. If all the locks and keys are t...

    Text Solution

    |

  8. The number of ways in which we can choose 2 distinct integers from 1 t...

    Text Solution

    |

  9. Let n be a positive integer with f(n) = 1! + 2! + 3!+.........+n! and ...

    Text Solution

    |

  10. If m and n are positive integers more than or equal to 2, mgtn, then (...

    Text Solution

    |

  11. A drawer contains red and black balls. When two balls are drawn at ran...

    Text Solution

    |

  12. If A, B, C and D are four points with position vectors 3hati, 3hatj, 3...

    Text Solution

    |

  13. If |(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0 then

    Text Solution

    |

  14. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has (1989, 2M) at ...

    Text Solution

    |

  15. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |

  16. The nature of the intersection of the set of planes: 2x-4y+2z=5,5x-y...

    Text Solution

    |

  17. Let PM be the perpendicualr from the point P(1, 2, 3) to x-y plane. If...

    Text Solution

    |

  18. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

    Text Solution

    |

  19. The inverse of a skew symmetric matrix is

    Text Solution

    |

  20. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |