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