$($a$)[2$ marks$]$ Using the value of the last input key $($i$.$e$.,11)$ as pivot of the quick sort algorithm,

illustrate the operation of partition on the array Ah$13,19,9,5,12,8,7,4,21,2,6,11$i$.$

$($b$)[2$ marks$]$ Illustrate the operation of counting sort on the array A $=$ h$6,0,2,0,1,3,4,6,1,3,2$i$.$

$($c$)[2$ marks$]$ Illustrate the operation of radix sort on the array A $=$ h$700,101,215,705,181,234,$

$456,678,123,311$i$.$