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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?

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?

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
11 months ago
576-250_vv.PNG
Vikas TU
14149 Points
11 months ago
total elements =2×4=8
total subsets= 28
subset having 0 elements= .8c0
subset having 1 element=.8c1
subset having 2 element=.8c2
n(AXXB)=28−.8c0−.8c1−.8c2
=2^8−[1+8+8×7/2]
=2^8−[9+28]
=2^8−37
=256−37=219
 

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