Lijeesh S D
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to Discussion forum for Mathematics for Data Science I, Arjun Vaddadi, nikhil kambli, priyanshu...@gmail.com
This is Q7 in "AQ1.10: Activity Questions 10 - Not Graded" of Week 1.
R = {(Snail, Frog), (Bird, Bird), (Fox, Frog), (Snail, Fox)}
S = {Snail, Fox, Bird, Frog}
Cardinality of S, |S| = 4
so |SXS| = 16
The 4 pairs in R is also present in SXS. So, |SXS\R| = 12.
So a subset of SXS\R can have 0 (empty set) to 12 (SXS\R itself) elements. P is a subset of SXS\R.
Thus, the set of possible cardinality of P is {0,1,2,3,4,5,6,7,8,9,10,11,12}.
Hope this helps!