Home
Class 12
MATHS
The number of ordered triplets (a, b, c)...

The number of ordered triplets `(a, b, c)` such that `L.C.M.(a, b) = 1000, L.C.M. (b,c) = 2000 and L.C.M. (c,a) = 2000`

Text Solution

Verified by Experts

The correct Answer is:
70
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

Find : L.C.M. (3, 5)

The L.C.M. of 7 and 13 is

Can two numbers has 16 as H.C.F. and 380 as L.C.M .

Find the L.C.M. And H.C.F. or 5!,6! And 7!

Find the H.C.F. and L.C.M. of 1152 and 1664.

Find the H.C.E. and L.C.M. of 6!,7!,8! .

The L.C.M. of 4 and 44 is

If the product of two numbers is 4032 and their H.C.F. is 12, find their L.C.M.

Find the H.C.F. of 180 and 336. Hence, find their L.C.M.

The L.C.M. of 30 and 45 is

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-2
  1. The number of ways the letters of the word PERSON cann be placed in th...

    Text Solution

    |

  2. A man has to move 9 steps. He can move in 4 directions: left, right, f...

    Text Solution

    |

  3. Total number of integral solutions of the system of equations x(1)+x(2...

    Text Solution

    |

  4. In how many ways three girls and nine boys can be seated in two vans, ...

    Text Solution

    |

  5. If n(1) " and" n(2) are five-digit numbers, find the total number of w...

    Text Solution

    |

  6. Number of sub parts into which ‘n’ straight lines in a plane can divid...

    Text Solution

    |

  7. Consider a rational number a/b in its lowesty form a,b are integers, w...

    Text Solution

    |

  8. How many integers are there between 0 and 10^(5) having the digit sum ...

    Text Solution

    |

  9. At a party, each man danced with exactly four women and each woman dan...

    Text Solution

    |

  10. There are eight rooms on the first floor of a hotel, with four rooms o...

    Text Solution

    |

  11. There are five cities A, B, C, D, E on a certain island. Each city is ...

    Text Solution

    |

  12. A, B are two students in a group of n students. If the number of ways ...

    Text Solution

    |

  13. The number of three-digit numbers of the form x y z such that x<ya n d...

    Text Solution

    |

  14. If three dice are rolled and we make a set of numbers shown on the thr...

    Text Solution

    |

  15. Let 0 lt a lt b lt c lt d lt e lt f lt g be a geometric sequence of i...

    Text Solution

    |

  16. All the 7 digit numbers containing each of the digits 1,2,3,4, 5, 6,7 ...

    Text Solution

    |

  17. Let N be the number of 6-digit numbers such that the digits of each nu...

    Text Solution

    |

  18. Find the number of eight-digit numbers the sum of whose digits is 4.

    Text Solution

    |

  19. The number of ordered triplets (a, b, c) such that L.C.M.(a, b) = 1000...

    Text Solution

    |

  20. A class contains three girls and four boys. Every Saturday, five o ...

    Text Solution

    |