Answer: The correct answer is- BE, BE, BE, BE.
The genotype of man is BBEE (representing brown hair and free earlobes).
It has two different genes ( B and E, present in homozygous state that is with same allele) that are corresponding to two different traits of the organism.
As per the Mendel's law of segregation, the pair of allele (that depicts a gene variant) are separated from one another during the process of gamete formation.
As both genes are having same allele that is present in homozygous state ( BB and EE), thus, BE is the only combination that will be formed in the gametes of the organism.