How many distinct permutations can be formed from all the letters of the word 'PHILIPPINES'?
Answer and explanation
Correct answer: D. 1,108,800 permutations
- Step 1: 11 total letters: P appears 3 times, I appears 3 times, others once. Step 2. 11! / (3! 3!) = 39,916,800 / (6 6) = 39,916,800 / 36 = 1,108,800. Answer: 1,108,800 permutations. Why not the others: 39,916,800 is 11! without dividing repeating letters.
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