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From a group of 5 boys and 4 girls, 3 students are selected at random for a quiz team. What is the probability that all three selected are boys?

Competition practiceProbability & Permutation
  • A10/21
  • B5/42
  • C1/21
  • D5/9

Step-by-Step Solution

Total selections = C(9,3) = 84. All-boy selections = C(5,3) = 10. Probability = 10/84 = 5/42. (10/21 is the chance of exactly two boys, 1/21 the chance of all girls.)
Answer: B) 5/42

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