Permutations: How many combinations in the word 'TART'?

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Questions and Answers

How many different three-letter combinations can be made from the letters in the word 'ACT'?

  • 6 (correct)
  • 8
  • 3
  • 4

What is the number of different three-letter combinations that can be made from the letters in the word 'BOB'?

  • 2
  • 4
  • 5
  • 3 (correct)

How many different four-letter combinations can be made from the letters in the word 'TART'?

  • 24
  • 4
  • 6
  • 12 (correct)

What is the minimum number of unique letters required to form at least 6 different three-letter combinations?

<p>3 (D)</p> Signup and view all the answers

What is the maximum number of different three-letter combinations that can be made from 3 unique letters?

<p>6 (B)</p> Signup and view all the answers

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Study Notes

Arranging Letters to Form Different Combinations

  • The letters in the word "ACT" can be arranged to form 6 different three-letter combinations: ACT, ATC, CAT, CTA, TAC, TCA.
  • The letters in the word "BOB" can be arranged to form 3 different three-letter combinations: BBO, BOB, OBB.
  • The number of different four-letter combinations that can be made from the letters in the word "TART" is an option among 4, 6, 12, 18, and 24.

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