gewünscht
desired
Describes something that someone wants to have or that matches their expectations; longed-for or wanted.
Bitte geben Sie die gewünschte Anzahl der Tickets an.
Please enter the desired number of tickets.

desired
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desired
Describes something that someone wants to have or that matches their expectations; longed-for or wanted.
Bitte geben Sie die gewünschte Anzahl der Tickets an.
Please enter the desired number of tickets.

'Gewünscht' (desired) is the past participle of the verb 'wünschen' (to wish/want). In German, many participles are used like adjectives before a noun and are declined accordingly.
Der gewünschte Artikel ist zurzeit leider nicht verfügbar.
The desired item is unfortunately not available at the moment.
This adjective is often combined with nouns that describe a goal or result. Typical examples are 'das gewünschte Ergebnis' (the desired result), 'der gewünschte Effekt' (the desired effect), or 'der gewünschte Termin' (the desired appointment/date).
Die Marketingkampagne erzielte nicht den gewünschten Effekt.
The marketing campaign did not achieve the desired effect.
The word is frequently used in forms, instructions, or customer service contexts to ask about a customer's or user's preferences.
Bitte wählen Sie die gewünschte Zahlungsart aus.
Please select the desired payment method.
welcome
'willkommen' and 'gewünscht' can both express that something is seen positively. 'willkommen' often sounds more personal or friendly: a person is 'willkommen' when people are happy to have them there, and help is 'willkommen' when it is just what is needed. 'gewünscht' says more neutrally that something matches someone's wish or plan. It does not have to sound warm or welcoming. For guests and friendly invitations, 'willkommen' is more natural; for requirements, plans, or specific expectations, 'gewünscht' often fits better.

Für die Bewerbung ist ein Foto nicht gewünscht.
A photo is not desired for the application.
Nach dem langen Umzug ist jede Hilfe willkommen.
After the long move, any help is welcome.