English

Which of the Following Are True: (2 × 3)! = 2! × 3!

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Question

Which of the following are true:

(2 × 3)! = 2! × 3!

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Solution

LHS =  (2 × 3)!
              = 6!
              = 720
RHS = 2! × 3!
              = 2 × 6
              = 12
LHS ≠ RHS
Thus, (ii) is false.

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Chapter 16: Permutations - Exercise 16.1 [Page 4]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.1 | Q 5.2 | Page 4

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