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In how many ways can 5 different prizes be given away to 3 students, if each student is eligible for any number of prizes?

Competition practiceProbability & Permutation
  • A125
  • B15
  • C120
  • D243

Step-by-Step Solution

Each of the 5 distinct prizes can go to any one of the 3 students independently, so the count is . The common error reverses the roles of prizes and students.
Answer: D) 243

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