Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A ×…

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 :
  1. 219
  2. 211
  3. 256
  4. 220

Solution

As nA=2 and nB=4

Hence nA×B=8

Now subsets of A×B containing 3 or more elements will be
=Total - (no element - one element -2 elements)

=28-8C0-8C1-8C2=219

Asked in: JEE Main 2013 (07 Apr)

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