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In how many distinct ways can all the letters of the word PROBABILITY be arranged?

Competition practiceProbability & Permutation
  • A39916800
  • B9979200
  • C19958400
  • D4989600

Step-by-Step Solution

PROBABILITY has 11 letters with B repeated twice and I repeated twice. Number of distinct arrangements = 11!/(2! 2!) = 39916800/4 = 9979200.
Answer: B) 9979200

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