Refer below sample.

HTML

<asp:Button Text="Increament counter" OnClick="IncreamentCounter" runat="server" />
Value:
<asp:Label ID="lblCount" runat="server" />
<hr />
<asp:Button Text="Reset counter" OnClick="ResetCounter" runat="server" />

Code

protected void IncreamentCounter(object sender, EventArgs e)
{
    int counter;
    if (ViewState["Count"] != null)
    {
        counter = Convert.ToInt32(ViewState["Count"]);
    }
    else
    {
        counter = 0;
    }
    if (counter == 10)
    {
        counter = 1;
    }
    else
    {
        counter = counter + 1;
    }

    ViewState["Count"] = counter;
    this.lblCount.Text = counter.ToString();
}

protected void ResetCounter(object sender, EventArgs e)
{
    ViewState["Count"] = 1;
    this.lblCount.Text = "1";
}

Screenshot