SOLUTION: Please help me solving this problem. A carton of 24 eggs contains one that is spoiled. In how many ways can people chose 3 of these eggs and gets one that is spoiled? Thank y

Algebra ->  Permutations -> SOLUTION: Please help me solving this problem. A carton of 24 eggs contains one that is spoiled. In how many ways can people chose 3 of these eggs and gets one that is spoiled? Thank y      Log On


   

Question 574472: Please help me solving this problem.
A carton of 24 eggs contains one that is spoiled. In how many ways can people chose 3 of these eggs and gets one that is spoiled?
Thank you.
Found 2 solutions by Edwin McCravy, sudhanshu_kmr:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
A carton of 24 eggs contains one that is spoiled. In how many ways can people chose 3 of these eggs and gets one that is spoiled? 

P(getting the spoiled one and two unspoiled one) = 

1 - P(getting 3 good eggs) =

1 - ((23 good eggs choose 3)/(24 eggs choose 3)) =

1 - %28%2823C3%29%2F%2824C3%29%29 =

1 - .875 = .125

Edwin

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Out of 24 one is spoiled, 23 is not spoiled.
Number of ways = 23C2 * 1C1 = 253

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