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Step-by-step explanation:
Use principle of Inclusion-Exclusion
Let X denote the set of all ordered pairs (A,b ) when A⊆B .
Similarly let Y denote set of all ordered pairs (A,B ) when B⊆A.
The question asks to find -:
n(X′⋂Y′) = n(S) −n(X⋃Y)
= n(S) − n(X) − n(Y) + n(X⋂Y)
= 2^10 - 3^5 - 3^5 + 2^5
=570
Hope this will be helpful to you..!!
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