5 Questions
How many different three-letter combinations can be made from the letters in the word 'ACT'?
6
What is the number of different three-letter combinations that can be made from the letters in the word 'BOB'?
3
How many different four-letter combinations can be made from the letters in the word 'TART'?
12
What is the minimum number of unique letters required to form at least 6 different three-letter combinations?
3
What is the maximum number of different three-letter combinations that can be made from 3 unique letters?
6
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.
Test your understanding of permutations with this question. The letters from the word 'ACT' can be arranged to spell out 6 different three-letter combinations, and the letters from the word 'BOB' can be arranged to spell out 3 different three-letter combinations. How many different four-letter combinations can be made from the letters in the word 'TART'?
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