$12.$

Question $12$

$($Difficulty:

$$

$$

$)$ Five symbols,

$$

A$,$

$$

B$,$

$$

C$,$

$$

D$,$ and

$$

E$,$ have the following probabilities:

$$

$($

$$

$)$

$=$

$0\mathrm{.}1$

p$($A$)=0\mathrm{.}1$

$$

$($

$$

$)$

$=$

$0\mathrm{.}23$

p$($B$)=0\mathrm{.}23$

$$

$($

$$

$)$

$=$

$0\mathrm{.}2$

p$($C$)=0\mathrm{.}2$

$$

$($

$$

$)$

$=$

$0\mathrm{.}15$

p$($D$)=0\mathrm{.}15$

$$

$($

$$

$)$

$=$

$0\mathrm{.}32$

p$($E$)=0\mathrm{.}32$

Which of the following codes can be the encoding result from the Huffman coding? Select all the answers that apply.

$1$ point

A: $111,$ B: $00,$ C: $01,$ D: $110,$ E: $10$

A: $010,$ B: $11,$ C: $10,$ D: $011,$ E: $00$

A: $00,$ B: $01,$ C: $111,$ D: $110,$ E: $10$

A: $011,$ B: $10,$ C: $11,$ D: $010,$ E: $00$

A: $001,$ B: $10,$ C: $101,$ D:$00,$ E: $11$

A: $11,$ B: $010,$ C: $011,$ D: $10,$ E: $00$