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Questions  

A bag contains 50 tickets numbered 1, 2, 3, . . ., 50 of which five are drawn at random and arranged in ascending order of magnitude 

x1<x2<x3<x4<x5. The probability that x3 = 30 is

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a
20C2 50C5
b
2C2 50C5
c
20C2×29C2 50C5
d
None of these

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detailed solution

Correct option is C

Five tickets out of 50 can drawn in 50C5 ways. Since x130, should come from 20 tickets numbered 31 to 50 in 20C2 ways.  So, favourable number of cases =29C229C2 Hence, required probability = 29C2×29C2 50C5


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