($13$ \&~$22$) $\times$ ($3$ \&~$6$) = $22\times6=132$ 
There is a rule that the symbol "\&" represents an operation of producing the larger one of the two numbers (for example, $7$ \&~$15 = 15$). Calculate: ($13$ \&~$22$ ) $\times$ ($3$ \&~$6$)=~\uline{~~~~~~~~~~}~. 
Options:
1. $$39$$ 
2. $$66$$ 
3. $$78$$ 
4. $$132$$ 