For each of the code fragments below, determine the polynomial in n that counts how often the count++ statement is executed.

a.for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { count++; } } 

b.for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) { count++; } } 

c.for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { count++; } }