Q.

Five numbers x1, x2, x3, x4, x5 are randomly selected from the numbers 1, 2, 3,, 18 and are arranged in the increasing order x1<x2<x3<x4<x5. The probability that x2=7 and x4=11 is:

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a

134

b

1136
 

c

172
 

d

168
 

answer is C.

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Detailed Solution

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No. of ways to select and arrange x1, x2, x3, x4, x5 from 1, 2, 3.18
n(s)=18C5

x1x2x3  x4x5        7   11n(E)=6C1×3C1×7C1 P(E)=6×3×7C5  18 117×4=168

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