Consider the set A={1,2,3,4} . Find a proper subset B of A then find proper subset C of B. then find a proper subset D of C
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Step-by-step explanation:
given :
- Consider the set A={1,2,3,4} . Find a proper subset B of A then find proper subset C of B. then find a proper subset D of C
to find :
- then find proper subset C of B. then find a proper subset D of C
solution :
- A = = {1, 2, {3,4}}
- Number of elements in A, n = 3.
- Total number of subsets of A = = 2¹ = 2³ =
- 8.
- Except for set A and null set, all other sets are proper sets.
- Hence number of proper subsets = 8 -
- 2 = 6
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