Bob,
You can set the following property to false to disable the word count and character count. However you can not enable character count only.
Editor.ShowWordCount Property
Specifies whether the Word Count toolbar appear.
Example Code
<%
Dim editor
Set editor = New CuteEditor
editor.ID = "Editor1"
'Specifies whether the Preview Mode tab appear.
editor.ShowWordCount = false
editor.Text = "Hello World"
editor.Draw()
%>
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