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

A bag contains 50 tickets `1,2,3,...50` of which 5 are drawn at random and aranged in ascending order of their numbers `x_(1) lt x_(2) lt x_(3) lt x_(4) lt x_(5)`. Find the number of selections so that `x_(3)=30`

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The correct Answer is:

`""^(29)C_(2)xx""^(20)C_(2)=77140`

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