Q$1$: Hashing $(20$D$)$

A hash table with $m=1$hat$(1)$ slots is requested to be nlled sequentially with the numbers $10,22,31,4,17,15,28,21,x.$

a$)$ Place the keys using the hash function h$($lo $-k$ mod $11$ and Loear probing method. Given that key X is placed exactly at the $1=5$ th probing $($starting from $1=0),$ what could be the possible value $($s$)$ of $x?($select all that apply$).$

a$)23-$

b$)36$

c$)8$

d$)16$

e$)90$

o$)70$

g$.71$

h$)14$

b$)$ Assuming $x=33,$ place the same keys into the $11-$slot hash table using the functions $h1(k)=$kmodm and $h2(k)=1+(kmod(m-1))$ with double probing method $($you should draw the final state of hash table$).$