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I believe that the initial size of a star depends upon the conditions inside the Giant Molecular Cloud (GMC) from which it forms.Stars form at local concentrations within the GMCs and I understand that if the GMC is relatively non-turbulent, with few eddies or local concentrations within it, and there are no nearby active or exploding stars to send compressing shockwaves through it, then you could expect fewer and larger stars to form. However, if the GMC is more turbulent, or it is subject to shockwaves, then you'll be likely to get a greater number of smaller stars forming instead.
In triggered star formation, one of several events might occur to compress a molecular cloud and initiate its gravitational collapse. Molecular clouds may collide with each other, or a nearby supernova explosion can be a trigger, sending shocked matter into the cloud at very high speeds. Alternatively, galactic collisions can trigger massive starbursts of star formation as the gas clouds in each galaxy are compressed and agitated by tidal forces. The latter mechanism may be responsible for the formation of globular clusters.