I have made a game called "Practice problem $-$ master method $-$ which case is it$?"$

I want you to play it$.$ The way to play is that there are $20$ practice problems in total. There are $4$ categories that each of the $20$ practice problems can fall into.

Case$1,$ Case$2,$ Case$3,$ and N$/$A $($none of the above$)$

I will do you a favor and tell you how many practice problems each of the categories will have for you to score a $100\%$ correct.

Case$1$: $6$ practice problems

Case$2$: $4$ practice problems

Case$3$: $6$ practice problems

N$/$A: $4$ practice problems

Here are the practice problems:

Question $1$:

$1$pts

T$($n$)=$ T$($n$/2)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $2$

$1$pts

T$($n$)=$ T$($n$/2)+$ n$^2$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $3$

$1$pts

T$($n$)=8$T$($n$/2)+$ n$^2$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $4$

$1$pts

T$($n$)=9$T$($n$/3)+$ n$^2$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $5$

$1$pts

T$($n$)=$ T$($n$/2)+$ n$^0\mathrm{.}5$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $6$

$1$pts

T$($n$)=2$T$($n$/2)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $7$

$1$pts

T$($n$)=4$T$($n$/2)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $8$

$1$pts

T$($n$)=2$T$($n$/3)+1$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $9$

$1$pts

T$($n$)=2$T$($n$/3)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $10$

$1$pts

T$($n$)=$ T$($n$/3)+1$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A

Question $11$

$1$pts

T$($n$)=9$T$($n$/3)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $12$

$1$pts

T$($n$)=3$T$($n$/2)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $13$

$1$pts

T$($n$)=4$T$($n$/2)+$ n$^2$

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $14$

$1$pts

T$($n$)=$ T$($n$/5)+$ n

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $15$

$1$pts

T$($n$)=$ T$($n$/2)+$ n$/$logn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $16$

$1$pts

T$($n$)=2$T$($n$/2)+$ nlogn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $17$

$1$pts

T$($n$)=3$T$($n$/2)+$ nlogn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A

Question $18$

$1$pts

T$($n$)=2$T$($n$/2)+$ n$/$logn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $19$

$1$pts

T$($n$)=$ T$($n$-2)+$ n$/$logn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A$$

Question $20$

$1$pts

T$($n$)=$ nT$($n$/2)-$ n$/$logn

Group of answer choices

Case $1$

Case $2$

Case $3$

N$/$A

Go ahead and sort them.