HTML Code

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>jQuery scoped checked count</title>
  <style>
    form { border: 1px dashed #64748b; padding: 12px; margin: 10px 0; }
    label { display: block; margin: 6px 0; }
    #scopedCount { margin-top: 12px; font-weight: bold; }
  </style>
</head>
<body>
  <form id="newsletterForm">
    <label><input type="checkbox" checked> Daily digest</label>
    <label><input type="checkbox"> Weekly roundup</label>
    <label><input type="checkbox" checked> Product news</label>
  </form>
  <form id="other">
    <label><input type="checkbox" checked> Ignored (other form)</label>
  </form>
  <div id="scopedCount"></div>
  <script src="https://code.jquery.com/jquery-3.7.1.min.js"></script>
  <script>
    function updateCount() {
      var n = $("#newsletterForm input:checkbox:checked").length;
      $("#scopedCount").text(n + " newsletter option(s) selected");
    }
    updateCount();
    $("#newsletterForm input:checkbox").on("change", updateCount);
  </script>
</body>
</html>

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jQuery scoped checkbox:checked count (Try It)