Verified Solution • 2025–26 Session moderate

QJEEM17Mab5da: JEE Main 2017 Mathematics - Class 12 JEEM17Mab5da Solution: If two different numbers are taken from the set {0, 1, 2, 3,…

If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is :

Multiple Choice Options

  • A 1255{{12} \over {55}}
  • B 1445{{14} \over {45}}
  • C 755{{7} \over {55}}
  • D 655{{6} \over {55}}

Step-by-Step Verified Solution

Let A = {0, 1, 2, 3, 4, ......., 10}

Total number of ways of selecting 2 different numbers from A is

n (S) = 11C2 = 55, where 'S' denotes sample space

Let E be the given event

∴\therefore E = {(0, 4), (0, 8), (2, 6), (2, 10), (4, 8), (6, 10)}

⇒\Rightarrow n (E) = 6

∴\therefore P(E) = n(E)n(S){{n\left( E \right)} \over {n\left( S \right)}} = 655{6 \over {55}}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring