Verified Solution • 2025–26 Session moderate

QJEEM22Maca2c: JEE Main 2022 Mathematics - Class 12 JEEM22Maca2c Solution: Five numbers x 1 , x 2 , x 3 , x 4 , x 5 are randomly selected…

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 :

Multiple Choice Options

  • A 1136
  • B 172
  • C 168
  • D 134

Step-by-Step Verified Solution

No. of ways to select and arrange x1,x2,x3,x4,x5\mathrm{x}_1, \mathrm{x}_2, \mathrm{x}_3, \mathrm{x}_4, \mathrm{x}_5 from 1,2,31,2,3 .......18

n(s)=18C5x1(x2)7x3(x4)11x5n(E)=6C1×3C1×7C1P(E)=6×3×718C5117×4=168

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