Let A ={1, 2,3, 4}, B = {2, 4, 6}. Then, the number of sets C such that A∩B⊆C⊆A∪B is

Let A ={1, 2,3, 4}, B = {2, 4, 6}. Then, the number of sets C such that ABCAB is

  1. A
  2. B
  3. C
  4. D

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    Solution:

    we have,

    AB={2,4}n(AB)=2AB={1,2,3,4,6}n(AB)=5as ABCAB 

    Set C contains the number of elements 

    =252=23=8

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