Given the following classes:
public class WeekOfYear : IEquatable<WeekOfYear>, IComparable<WeekOfYear>
{
    private readonly DateTime dateTime;
    private readonly DayOfWeek firstDayOfWeek;
    public WeekOfYear(DateTime dateTime)
        : this(dateTime, DayOfWeek.Sunday)
    {
    }
    public WeekOfYear(DateTime dateTime, DayOfWeek firstDayOfWeek)
    {
        this.dateTime = dateTime;
        this.firstDayOfWeek = firstDayOfWeek;
    }
    public int Year
    {
        get
        {
            return dateTime.Year;
        }
    }
    public int Week
    {
        get
        {
            return CultureInfo.CurrentCulture.Calendar.GetWeekOfYear(dateTime, CalendarWeekRule.FirstDay, firstDayOfWeek);
        }
    }
    public bool Equals(WeekOfYear other)
    {
        return Year == other.Year && Week == other.Week;
    }
    public int CompareTo(WeekOfYear other)
    {
        if (Year > other.Year || Year == other.Year && Week > other.Week)
        {
            return 1;
        }
        if (Equals(other))
        {
            return 0;
        }
        return -1;
    }
    public override string ToString()
    {
        return String.Format("Week of {0}", dateTime.FirstDayOfWeek(firstDayOfWeek).ToString("MMMM dd, yyyy"));
    }
}
public class WeekOfYearComparer : IEqualityComparer<WeekOfYear>, IComparer<WeekOfYear>
{
    public bool Equals(WeekOfYear x, WeekOfYear y)
    {
        return x.Equals(y);
    }
    public int GetHashCode(WeekOfYear weekOfYear)
    {
        return weekOfYear.GetHashCode();
    }
    public int Compare(WeekOfYear x, WeekOfYear y)
    {
        return x.CompareTo(y);
    }
}
This test fails (unexpectedly):
[Test]
public void Fails()
{
    var dates = new List<DateTime>
                    {
                        new DateTime(2012, 1, 1),
                        new DateTime(2012, 2, 1),
                        new DateTime(2012, 1, 1)
                    };
    IEnumerable<IGrouping<WeekOfYear, DateTime>> groups = dates.GroupBy(date => new WeekOfYear(date), new WeekOfYearComparer());
    Assert.That(groups.Count(), Is.EqualTo(2)); // count is 3
}
And this test passes (expectedly):
[Test]
public void Works()
{
    var dates = new List<DateTime>
                    {
                        new DateTime(2012, 1, 1),
                        new DateTime(2012, 2, 1),
                        new DateTime(2012, 1, 1)
                    };
    var groups = dates.GroupBy(
        date =>
            {
                var weekOfYear = new WeekOfYear(date);
                return new { weekOfYear.Year, weekOfYear.Week };
            });
    Assert.That(groups.Count(), Is.EqualTo(2));
}
Why does the first test result in a count of 3?
 
     
    