C# 删除XML节点的问题 - .NET技术 / C#

请大家帮下忙，我的XML文件结构如下

<?xml version="1.0" encoding="gb2312"?>
<InforMation>
  <Product Name="AAA">
  <Path ChooseFolderPath="C:\Users\AAA\Desktop\Bin" TargetFolderPath="C:\Users\AAA\Desktop\新建文件夹">
  <BelowToFolder>C:\Users\AAA\Desktop\Bin</BelowToFolder>
  <FileName>bridgeunattend.exe</FileName>
  </Path>
  </Product>
  <Product Name="BBB">
  <Path ChooseFolderPath="C:\Users\AAA\Desktop\oldBll" TargetFolderPath="C:\Users\AAA\Desktop">
  <BelowToFolder>C:\Users\AAA\Desktop\oldBll\ex</BelowToFolder>
  <FileName>BLL.dll</FileName>
  <BelowToFolder>C:\Users\AAA\Desktop\oldBll</BelowToFolder>
  <FileName>brdgcfg.dll</FileName>
  </Path>
  </Product>
  <Product Name="CCC">
  <Path ChooseFolderPath="C:\Users\AAA\Desktop\Bin" TargetFolderPath="C:\Users\AAA\Desktop\新建文件夹" />
  </Product>
</InforMation>

我想把Product Name为BBB的节点全部删掉，但如果我用下面代码，删除完后还会存在<Product> </Product>这对标签，我想问一下，要如何操作才能把指定的节