Multiple choice general knowledge math & puzzles

In how many ways can you arrange the letters of the word INTERNATIONAL??

  1. 13

  2. 13!

  3. 2^13

  4. 129729600
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The word INTERNATIONAL has 13 letters. Counting repetitions: I appears 2 times, N appears 3 times, T appears 2 times, A appears 2 times, and E, R, O, L each appear once. The number of distinct arrangements is 13! divided by the factorials of the repetition counts: 13!/(2! × 3! × 2! × 2!) = 6,227,020,800/48 = 129,729,600. Option D is correct. Options A and B ignore repeated letters entirely, while C is irrelevant.

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