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Who can decipher this? Nashville Number System

Your terminology is just a little confused here. Root Position doesn't refer to the lowest note in the arrangement - it refers to a chord arranged such that the Root is the lowest note. So it isn't possible to have a chord in 3rd Inversion and Root Position at the same time. The Root is nothing more than the letter-name or scale degree after which the chord is named.

I didn’t proofread & may have implied something I didn’t intend. I thought 3rd inversion would have the seventh as the lowest note, next note the Root, then the third & fifth (of a Major Chord).

My teacher used ‘Root Position’ when describing inversions to differentiate from the Root, but I’m more concerned about the inversion (tho I realize now ‘Root Position’ may not mean what I thought). Time to dust off some books.
 
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I didn’t proofread & may have implied something I didn’t intend. I thought 3rd inversion would have the seventh as the lowest note, next note the Root, then the third & fifth (of a Major Chord).

My teacher used ‘Root Position’ when describing inversions to differentiate from the Root, but I’m more concerned about the inversion (tho I realize now ‘Root Position’ may not mean what I thought). Time to dust off some books.

Yes and no. The inversion is defined only by the bass note: Root is in the bass for root position, 3rd in the bass for 1st inversion, etc. The arrangement of notes above the bass is of no consequence. It could go 5, 3, 5, 7, R and still be 2nd inversion. There is nothing which dictates that the Root must be next in pitch above 7th in 3rd inversion.

Perhaps also refresh on 'closed' vs 'open' voicing. 3rd inversion in closed voicing will be as you describe - 7, R, 3, 5.
 
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