Lets arrange the letters of UBIQUITOUS alphabetically = BIIOQSTUUU
Words starting with B = 9!/(2!*3!) = 30240
Words starting with I = 9!/(3!) = 60480
Words starting with O = 9!/(2!*3!) = 30240
Words starting with Q = 9!/(2!*3!) = 30240
Words starting with S = 9!/(2!*3!) = 30240
Words starting with T = 9!/(2!*3!) = 30240
Words starting with UBII = 6!/(2!) = 360
Words starting with UBIO = 6!/(2!) = 360
Words starting with UBIQI = 5!/(2!) = 60
Words starting with UBIQO = 5!/(2!) = 60
Words starting with UBIQS = 5!/(2!) = 60
Words starting with UBIQT = 5!/(2!) = 60
Words starting with UBIQUIO = 3! = 6
Words starting with UBIQUIS = 3! = 6
Words starting with UBIQUITOSU = 1
and next word is UBIQUITOUS = 1