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The Product of R Consecutive Positive Integers is Divisible by , R ! , (R − 1) ! , (R + 1) ! , None of These.

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Question

The product of r consecutive positive integers is divisible by

Options

  • r !

  • (r − 1) !

  • (r + 1) !

  • none of these.

MCQ
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Solution

r !
The product of r consecutive integers  is equal to r!, so it will be divisible by r!.

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Chapter 16: Permutations - Exercise 16.7 [Page 47]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.7 | Q 16 | Page 47

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