The word "many" is used to denote the majority of things. In the given sentence, the blank can be replaced by "many", i.e., "The parks and recreation department offers many opportunities for volunteers to improve the community".
The word "many" can be used if the person is talking about a plural noun. It is used with the noun that is uncountable.
The given sentence can be written as "The parks and recreation department offers many opportunities for volunteers to improve the community".
Thus, the blank should be "many".
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