Given a personality test (the NEO-PI-R) with 30 scales (6 sub-domains or facets per domain of the Big Five), and 3 levels of scores possible per scale (high, medium, or low), how many different arrangements of 30 scores are possible? That is, how many different combinations of 30 scores are possible? Seems that 90! is way too large a number (52 quadrillion), as is 3^30. Any help available on this? Thanks!

-- Gappper