Which of the following statements are true with reference to the sex-determination in honeybees?
$A$. An offspring formed from the union of a sperm and an egg,develops as a female (queen or worker).
$B$. An unfertilized egg develops as a male by parthenogenesis.
$C$. $A$ male has half the number of chromosomes than that of a female.
$D$. Males produce sperms by meiosis.
$E$. Honeybees have a haplodiploid sex determination system.
Choose the correct answer from the options given below:

• A
  $(1)$ $A, B, C$ and $E$ only
• B
  $(2)$ $A, B, C$ and $D$ only
• C
  $(3)$ $B, C, D$ and $E$ only
• D
  $(4)$ $A, B, D$ and $E$ only