Home
Class 12
MATHS
Prove that product of any r consecutive ...

Prove that product of any r consecutive natural numbers is always divisible by r!.

Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE (7A) (MCQ )|9 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7A ( Very Short Answer Type Questions )|25 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( E Assertion -Reason Type )|2 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that the product of any r consecutive natural number is always divisible by r!.

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

Prove that the product of three consecutive natural numbers is always divisible by 6.

T_r is always

Prove that the product of two consecutive natural numbers is even.

Statement - I : For every natural number ((n+4)!)/((n+1)!) is divisible by 6. Statement - II : Product of three consective natural numbers is divisible by 3 !

Prove using principle of mathematical induction that sum of the cube three consecutive natural number is divisible by 9.

The product of two consecutive positive odd numbers is 323.

Prove that the product of two even numbers is an even number.

Find the sum of all three-digit natural numbers, which are divisible by 7.