Suppose P and Q are equivalent sets and n(P)=17. What is the maximum number of elements in P u Q? What is the minimum? What is the maximum number of elements in P n Q? What is the minimum? Any help is appreciated! Thanks!

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Suppose P and Q are equivalent sets and n(P)=17. What is the maximum number of elements in P u Q? What is the minimum? What is the maximum number of elements in P n Q? What is the minimum? Any help is appreciated! Thanks!

Mathematics
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I think maximum of n (P or Q) = 34 minimum is 0 (the case they are not overlap at all. I mean they are separated) the max of n(P and Q) = 17. the min =0.
Yes. For example if P = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17} and Q = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r} then n(PuQ) = 34. But if P = Q then n(PnQ) = 17
Thanks a lot, for both "works" and check my work

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