accusative singular masculine of gaṇa (noun), or gerundive accusative; alternatively, 2nd person singular imperative of gaṇati 'count'
Analysis. gaṇayaṁ is the accusative singular of gaṇa (a group, troop, collection), which derives from the verbal root √gaṇ (to count, enumerate); the -aṁ is the standard masculine accusative singular ending.
Etymology. √gaṇ is cognate with Latin genus 'kind, class' and Greek genos, reflecting Proto-Indo-European *ǵenh₂- 'to beget, produce (a kind or class)'. The concrete sense 'to count' arises from sorting items into kinds or classes; 'group' follows from the idea of counted members bound together.
Meanings from the Digital Pāḷi Dictionary; morphology and etymology by Claude.
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