Three distinct numbers are selected numbers 1,2,3, , 15 , then probability that their sum…

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

Three distinct numbers are selected numbers \(\{1,2,3, \ldots, 15\}\), then probability that their sum is a perfect cube, is
  1. \(\frac{39}{455}\)
  2. \(\frac{5}{91}\)
  3. \(\frac{41}{455}\)
  4. \(\frac{42}{455}\)

Answer

(C) 41 455

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