Each dinner at Restaurant $X$ includes a pair of side dishes, which a customer chooses by selecting any one side

Each dinner at Restaurant $X$ includes a pair of side dishes, which a customer chooses by selecting any one side dish from list $A$ and any one side dish from list $B.$ There are a total of $18$ possible pairs of side dishes, and no side dish appears on both lists. If there are fewer side dishes on list $A$ than on list $B,$ how many side dishes are on list $B?$

1) There are a total of $9$ side dishes on the two lists

2) There are a total of $3$ side dishes on list $A$

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