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JEE Main2013MathematicsSets and RelationsActual

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

Options

  1. A219
  2. B211
  3. C256
  4. D220

Correct answer

A. 219

Step-by-step solution

As n A = 2 and n B = 4 Hence n A × B = 8 Now subsets of A × B containing 3 or more elements will be =Total - (no element - one element - 2 elements) = 2 8 - 8 C 0 - 8 C 1 - 8 C 2 = 2 1 9

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