The correct options are
A 7x+8xy
C 3x+7xy+yx
D 3x+2y
7x +8 xy has two unlike terms. So, it is a binomial.
1 + 2x +3y has three unlike terms. So, it is a trinomial.
3x + 7xy + yx = 3x + 8xy which has two unlike terms. So, it is a binomial.
3x + 2y has two unlike terms. So, it is a binomial.