näytettyjen

Näytettyjen is a Finnish grammatical form: it is the genitive plural of the past passive participle näytetty, which means "shown" or "displayed." In Finnish, participles can function as adjectives and agree with the noun they modify in number and case. Thus näytetty (singular nominative) becomes näytettyjen in the genitive plural. The form is used to indicate possession or relation to the items that have been shown.

The usage of näytettyjen centers on phrases where the noun it describes is in the genitive plural, typically referring to a group of displayed or presented items. For example, näytettyjen kuvien määrä tarkoittaa the number of the shown pictures, and näytettyjen tuotteiden ominaisuudet means the properties of the displayed products. The construction can also appear with other genitive plural nouns, such as ohjeiden, suunnitelmien or pesuohjeiden, to convey “according to the shown/displayed instructions” or “properties of the shown plans,” depending on context. In everyday language, the form helps specify that something pertains to items that have been shown or presented previously.

Etymology and morphology: the word stems from the verb näytää (to show) plus the past passive participle suffix, with declension following adjective patterns. The genitive plural ending -jen marks agreement with a plural noun in genitive, unlike the nominative plural näytetyt or other cases. While näytettyjen itself is not a standalone noun, it functions as a modifier within noun phrases to convey the relationship “of the shown/displayed ….”