Verified Solution • 2025–26 Session moderate

QJEEM13Maf1cb: JEE Main 2013 Mathematics - Class 11 JEEM13Maf1cb Solution: Let A and B be two sets containing 2 elements and 4 elements…

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A ×\times B having 3 or more elements is :

Multiple Choice Options

  • A 219
  • B 211
  • C 256
  • D 220

Step-by-Step Verified Solution

A ×\times B will have 2 ×\times 4 = 8 elements.

The number of subsets having atleast 3 elements

= 8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8

= 28 – (8C0 + 8C1 + 8C2) = 256 – 1 – 8 – 28 = 219

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