$(9)$ Compare the following sorting algorithms. Identify advantages and disadvantages of each method, and give a brief explanation of each advantage and disadvantage. $($For example, if you state the performance of the algorithm, give a brief explanation of why that is correct.$)$

$($a$)$ Selection sort:

$($b$)$ Bubble sort:

$($c$)$ Merge sort:

$($d$)$ Quick sort: