# The "Brilliant" Set Part 2 Reposted

Discrete Mathematics Level 5

Given a Set $$A=\{b,r,i,l,a,n,t\}$$. Then the number of ordered pairs $$(P,Q,R,S)$$ which can be formed such that $$P \subseteq A$$ , $$Q \subseteq A$$, $$R \subseteq A$$, $$S \subseteq A$$ And $$(P\cup Q)\cap (R\cup S)=\emptyset$$.

• The answer is of the form $$m^{n}$$ where $$m,n$$ are primes. Find $$m+n$$
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