Home
Class 12
MATHS
The remainder when x=1!+2!+3!+4!+…+100! ...

The remainder when `x=1!+2!+3!+4!+…+100!` is divided by 240`, is

A

153

B

33

C

73

D

187

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) Single Correct Answer Type Questions |14 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) Numerical Answer Type Questions |19 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

Similar Questions

Explore conceptually related problems

The remainder when 1!+2!+3!+4!+......+1000! is divided by 10 is

The remainder when 1!+2!+3!+4!+....+95! is divided by 15 is

What is the remainder when 1!+2!+3!+….+100! is divided by 7 ?

The remainder when x^(3) -3x^(2) + 5x -1 is divided by x +1 is ___

The remainder when f(x)=4x^(3)+2x-1 is divided by 2x+1 is

The remainder obtained when 1!^2+2!^2+3!^2 + ….+100!^2 is divided by 10^2 is

The remainder when f(x) = 4x^(3) -3x^(2) + 2x -1 is divided by 2x +1 is ____

MCGROW HILL PUBLICATION-PERMUTATIONS AND COMBINATIONS -SOLVED EXAMPLES (LEVEL 1) Single Correct Answer Type Questions
  1. Ten letters of an alphabet are given. Words with five letters are form...

    Text Solution

    |

  2. The number of ways in which six '+' and four '-' sings can be arranged...

    Text Solution

    |

  3. The remainder when x=1!+2!+3!+4!+…+100! is divided by 240, is

    Text Solution

    |

  4. If x in N and ""^(x-1)C(4)-""^(x-1)C(3)lt(5)/(4)(""^(x-2)P(2)), then x...

    Text Solution

    |

  5. The total number of ways in which 5 balls of different colours can be ...

    Text Solution

    |

  6. Let n ge 2 be an integer. Take n distinct points on a circle join each...

    Text Solution

    |

  7. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  8. Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint ...

    Text Solution

    |

  9. How many different words can be formed by jumbling the letters in the ...

    Text Solution

    |

  10. From 6 different novels and 3 different dictionaries, 4 novels and 1 d...

    Text Solution

    |

  11. There are two urns. Urn A has 3 distinct red balls and urn B has 9 dis...

    Text Solution

    |

  12. The number of ways in which the diagram in Figure can be coloured so t...

    Text Solution

    |

  13. Four married couples are to be seated in a row having 8 chairs. The nu...

    Text Solution

    |

  14. 25 lines are drawn in a plane such that no two of them are parallel an...

    Text Solution

    |

  15. Letter of the word INDIANOIL are arranged in all possible ways. The nu...

    Text Solution

    |

  16. Let a(n)=sum(r=0)^(n)(1)/((""^(n)C( r ))^(2)) and b(n)=sum(r=0)^(n)((n...

    Text Solution

    |

  17. A committee of at least three members is to be formed from a group of ...

    Text Solution

    |

  18. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |

  19. Assuming the balls to be identical except for difference of colours th...

    Text Solution

    |

  20. Let a(n) = number of n-digit positive integers formed by the digits 0,...

    Text Solution

    |