Step 1: Understand honeybee sex determination.
Apis mellifera shows haplodiploid system of sex determination.
Step 2: Chromosome number basics.
Females (queen and workers) are diploid (2n = 32), males (drones) are haploid (n = 16).
Step 3: Evaluate drones.
Drones have 16 chromosomes, not 32.
Step 4: Evaluate queen.
Queen is diploid with 32 chromosomes, not 16.
Step 5: Evaluate workers.
Worker bees are diploid (32 chromosomes), so statement is correct.
Step 6: Conclusion.
Thus correct answer is worker bees have 32 chromosomes.