Here's working example with anonymous output record, if you have any questions place a comment below:
public partial class Form1 : Form
{
DataTable table;
public Form1()
{
InitializeComponent();
#region TestData
table = new DataTable();
table.Clear();
for (int i = 1; i < 12; ++i)
table.Columns.Add("Col" + i);
for (int rowIndex = 0; rowIndex < 5; ++rowIndex)
{
DataRow row = table.NewRow();
for (int i = 0; i < table.Columns.Count; ++i)
row[i] = String.Format("row:{0},col:{1}", rowIndex, i);
table.Rows.Add(row);
}
#endregion
bind();
}
public void bind()
{
var filtered = from t in table.AsEnumerable()
select new
{
col1 = t.Field<string>(0),//column of index 0 = "Col1"
col2 = t.Field<string>(1),//column of index 1 = "Col2"
col3 = t.Field<string>(5),//column of index 5 = "Col6"
col4 = t.Field<string>(6),//column of index 6 = "Col7"
col5 = t.Field<string>(4),//column of index 4 = "Col3"
};
filteredData.AutoGenerateColumns = true;
filteredData.DataSource = filtered.ToList();
}
}