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The number of permutations of n distinct books placed in a row on a shelf is 5040. Find n.

Competition practiceProbability & Permutation
  • A7
  • B6
  • C8
  • D10

Step-by-Step Solution

n distinct objects in a row give n! arrangements, so n! = 5040. Since 7! = 5040 (and 6! = 720, 8! = 40320), n = 7.
Answer: A) 7

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