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A bag contains 50 tickets numbered 1,2,3...

A bag contains 50 tickets numbered 1,2,3,…, 50 , of which 5 are drawn at random and arranged in ascending order of their numbers `x_(1) lt x_(2)ltx_(3) ltx_(4)ltx_(5)`. What is the probability that `x_(3) = 30` ?

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The correct Answer is:
`(""^(29)C_(2)xx^(20)C_(2))/(50_(C_(5)))`
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