From Billl Mounce on 1 Tim 6:10
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BAGD shows that πᾶς can designate ‘everything belonging, in kind, to the class designated by the noun “every kind of,” “all sorts of”’ (631[1aβ]), listing these examples among others: γέμουσιν … πάσης ἀκαθαρσίας, ‘they are full … of all kinds of uncleanness’ (Matt 23:27); ἀπὸ παντὸς ἔθνους, ‘from every kind of nation’ (Acts 2:5); πᾶσαν ἐπιθυμίαν, ‘[evil] desire of every kind’ (Rom 7:8); and πᾶν ἁμάρτημα, ‘every kind of sin’ (1 Cor 6:18). If this is applicable here, Paul is saying that every different category of sin, but not every specific sin, has a root in the love of money.”