Composite Key :
A composite key is a combination of more than one column to identify a unique row in a table.
composite key can be a primary key .
PRIMARY KEY
The PRIMARY KEY constraint uniquely identifies each record in a database table.
so its all depend on your requirement
in first design
Many to Many Table:
Using composite:
CountryID Pkey
LanguageID Pkey
if you use this desing than CountryID and LanguageID is composite primary key.i.e here
data of the table will be
CountryId LaguageID
1 1 //valid
1 2 //valid
1 3 //valid
1 1//not valid data as its form composite primary key
and in second design
Using Unique Id:
AutoID Pkey
CountryID
LanguageID
AutoID is become primary key so this will allow data lke thsi
AutoId CountryId LaguageID
1 1 1 //valid
2 1 2 //valid
3 1 3 //valid
4 1 1 //valid as AutoID is primary key
1 2 3 // invalid as AutoID is prinary key
hope this presentation help you to understand difference