Home
Class 12
MATHS
True or false 1. The product of any 2. r...

True or false 1. The product of any `2. r 3.` 4. consecutive natural numbers is always divisible by `5. 6. r ! 7.` 8.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 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

True or false: The product of any r consecutive natural numbers is always divisible by r!

The product of n consecutive natural numbers is always divisible by

The product of any three consecutive natural numbers is divisible by 6 (True/false).

The product of any three consecutive natural numbers is divisible by 6 (True/false).

Statement-1: n(n+1)(n+2) is always divisible by 6 for all n in N . Statement-2: The product of any two consecutive natural number is divisible by 2.

Show that product of any n consecutive integers is always divisible by n!

Property:Product of r consecutive number is divisible by r!

The product of the predecessor and successor of an odd natural number is always divisible by 2 (b) 4 (c) 6 (d) 8

Prove that for any natural numbers n, 7^(n)-2^(n) is divisible by 5.

The product of consecutive positive integers is divisible by a. r ! b. r !+1 c. (r+1)! d. none of these

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. let T(n) be the number of all possible triangels formed by joining ver...

    Text Solution

    |

  2. Find the value of ""^(47)C4+ underset (r=1) overset( 5) sum ""^(52-r...

    Text Solution

    |

  3. True or false 1. The product of any 2. r 3. 4. consecutive natural ...

    Text Solution

    |

  4. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  5. The number of arrangements of the letters of the word BANANA in whic...

    Text Solution

    |

  6. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  7. Find the number of ways in which six '+' and four '-' signs can be arr...

    Text Solution

    |

  8. There are five balls of different colours and five boxes of colours sa...

    Text Solution

    |

  9. The number of ways of choosing 10 objects out of 31 objects of which 1...

    Text Solution

    |

  10. Suppose that 20 pillars of the same height have been erected along the...

    Text Solution

    |

  11. Some identical balls are arranged in rows to form an equilateral trian...

    Text Solution

    |

  12. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  13. A group of students comprises of 5 boys and n girls. If the number of ...

    Text Solution

    |

  14. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |

  15. The number of 6 digits numbers that can be formed using the digits 0, ...

    Text Solution

    |

  16. A committee of 11 members is to be formed from 8 males and 5 m=females...

    Text Solution

    |

  17. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

    Text Solution

    |

  18. The number of natural numbers less than 7,000 which can be formed by u...

    Text Solution

    |

  19. Consider a class of 5 girls and 7 boys. The number of different teams ...

    Text Solution

    |

  20. The number of four-digit numbers strictly greater than 4321 that can b...

    Text Solution

    |