Home
Class 11
MATHS
The product of r consecutive positive i...

The product of r consecutive positive integers is divisible by

A

r!

B

r! + 1

C

(r + 1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise Section - II|10 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section - III|10 Videos

  • SURAs MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise PART-IV|11 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise SECTION - D|5 Videos

Similar Questions

Explore conceptually related problems

The product of r consective positive integers is divisible by ………………. .

Prove that the product of two consecutive positive integers is divisible by 2.

Represent the following situations in the form of quadratic equation: The product of two consecutive positive integers is 306. We need to find the integers.

Find the sum ofthe first 40 positive integers divisible by 6.

The number of positive six-digit integers which are divisible by 9 and four of its digits are 1 , 0 , 0 , 5 is

Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. ^7C_4 d. none of these

Prove that two consecutive positive integers are always coprime.