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Which subjectMathematics
What age groupCollege
What topicPermutations
Question typesMixed
Number of questions10
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College Mathematics Quiz: Permutations

Instructions

Answer the following questions on the topic of permutations. Read each question carefully and select the correct answer where applicable.

Questions

  1. How many permutations are there of the letters in the word "MATH"?

  2. If you have 5 books and want to arrange them on a shelf, how many different arrangements can you make?

    • A. 60
    • B. 120
    • C. 24
    • D. 30
  3. In how many different ways can a group of 4 people be seated at a round table?

  4. You have 7 different colored balls. How many ways can you choose and arrange 3 of them?

    • A. 210
    • B. 120
    • C. 504
    • D. 343
  5. A password consists of 3 different letters followed by 2 different digits. How many different passwords can be formed if the letters and digits can be repeated?

  6. From a set of 8 students, how many ways can you select and arrange 4 students for a project team?

    • A. 1680
    • B. 3360
    • C. 280
    • D. 560
  7. If the letters of the word "COMPUTER" are arranged, how many different arrangements start with the letter 'C'?

  8. How many possible 3-digit codes can be formed using the digits 0-9 if digits can be repeated?

    • A. 1000
    • B. 900
    • C. 729
    • D. 512
  9. Determine the number of permutations of the letters in the word "BALLOON".

  10. A committee of 5 is to be formed from a group of 10 people. How many different ways can the committee be arranged?

    • A. 30240
    • B. 3628800
    • C. 252
    • D. 720

Conclusion

Please ensure that all your answers are well thought out. Good luck!