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Data Sufficiency Question 17 – answer, explanation & discussion

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Question 17 Back to Exercise

How many arrangements can be made of the letters of a 4-letter word?

I. The word is TOOT.
II. The word is a palindrome made of two Ts and two Os.

  • A Statement I alone is sufficient, but Statement II alone is not sufficient
  • B Statement II alone is sufficient, but Statement I alone is not sufficient
  • C Each statement alone is sufficient Correct
  • D Both statements together are sufficient, but neither statement alone is sufficient
  • E Statements I and II together are not sufficient
Correct Answer: Option C

I: 4!/(2! 2!) = 6. Sufficient.

II: TOOT or OTTO – the same letters, so 6 either way. Sufficient.

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