Kedushah d'Yotzer (Kadosh kadosh kadosh inside Yotzer Or)
NOT a davar she-bikdushah — an individual DOES say it
Which mapped units require a congregation of ten, which do not, and how the quorum itself is counted.
A davar she-bikdushah is a liturgical act that constitutes the congregation as a public body and therefore cannot exist without ten. Mishnah Megillah 4:3; Berakhot 21b derives ten by gezeirah shavah from 've-nikdashti be-tokh benei Yisrael' / 'hibadlu mi-tokh ha-edah ha-zot'. Codified SA OC 55:1.
NOT a davar she-bikdushah — an individual DOES say it
Said alone — its form is Torah-with-Targum, not sanctification
Nine plus oneSA OC 55:4 records the leniency of nine plus a child over six holding a ḥumash — rejected by the major poskim.
Partial departureSA OC 55:2-3: if begun with ten and some leave, the service may be finished provided a majority (six) remain.
Pores al ShemaSA OC 69:1 — where ten have already prayed privately, one leads Kaddish → Barekhu → Yotzer Or alone, for those who missed them.
Conservative practiceCJLS OH 55:1.2002 (15-0-2) reaffirmed that women count in a minyan and may serve as sheliḥat tzibbur; non-egalitarian Conservative minyanim remain within the standard.