P (entertainment group) = 1-P (beauty group)
Beautiful combination requires that "20" and "14" are continuous and orderly, at the beginning or end of a sentence.
So p (beautiful combination) = c (3 3,2 2) * a (2 2,2)/a (4,4) =1/4.
So p (entertainment combination) = 1- 1/4=3/4.
You can ask questions if you can't understand the arrangement and combination.