Engineering Board Exam Reviewer · Permutations · easy

Eight contestants compete. In how many ways can first, second, and third place be awarded?

  1. 336
  2. 56
  3. 24
  4. 512

Answer

A. 336

Solution

8P3=8×7×6=336.

More Permutations questions

  1. In how many ways can 6 different books be arranged on a shelf?
  2. How many ways can a president, vice president, and secretary be chosen from a club of 10 members (distinct roles)?
  3. In how many ways can the letters of the word "NUMBER" be arranged?
  4. In how many distinct ways can the letters of the word "STATISTICS" be arranged?
  5. How many ways can 4 men and 3 women be seated in a row if the 3 women must sit together?
  6. In how many ways can 5 people be arranged in a row if two particular people must NOT sit next to each other?
  7. How many distinguishable permutations are there of the letters in "MISSISSIPPI"?
  8. From a group of 8 people, in how many ways can a chairperson, secretary, and treasurer (distinct roles) be selected?
  9. How many different 3-letter arrangements (not necessarily meaningful words) can be formed from the letters of the word DIAGRAM?
  10. In how many ways can 5 men and 4 women be seated in a row so that no two women sit next to each other?

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