Identify and correct the errors in each of the following sets of code:

```
a) while (c <= 5)
{
product *= c;
++c;

b) if (gender == 1)
{
Console.WriteLine("Woman");
}
else;
{
Console.WriteLine("Man");
}
```

a. Error: The closing right brace of the while statement’s body is missing.
Correction: Add a closing right brace after the statement ++c;.
b. Error: The semicolon after else results in a logic error. The second output statement will always execute.
Correction: Remove the semicolon after else.