JSFiddle - React, Tailwind, and code Playground

HTML

<table border="1">
<tr>
								<td>
								<b>Score:</b>
								  <select id="scoreA">
									<option value="1">1</option>
									<option value="2">2</option>
									<option value="3">3</option>
									<option value="4">4</option>
								  </select>
								</td>
								<td><b>Score:</b>
								  <select id="scoreB">
									<option value="1">1</option>
									<option value="2">2</option>
									<option value="3">3</option>
									<option value="4">4</option>
								  </select>
								</td>
								<td><b>Score:</b>
								  <select id="scoreC">
									<option value="1">1</option>
									<option value="2">2</option>
									<option value="3">3</option>
									<option value="4">4</option>
								  </select>
								</td>
								<td><b>Score:</b>
								  <select id="scoreD">
									<option value="1">1</option>
									<option value="2">2</option>
									<option value="3">3</option>
									<option value="4">4</option>
								  </select>
								</td>
							</tr>
<tr>
    <td>
        <select id="t10">
          <option value="volvo">Volvo</option>
          <option value="saab">Saab</option>  
        </select>
    </td>
    <td>
        <select id="t20">
          <option value="volvo">Volvo</option>
          <option value="saab">Saab</option>  
        </select>
    </td>
</tr>

JavaScript

$("select").change(function()
 {
     var tr = $(this).closest("tr");
        tr.find("select option").attr("disabled",""); //enable everything

     //collect the values from selected;
     var  arr = $.map
     (
        tr.find("select option:selected"), function(n)
         {	
              return n.value;
          }
      );

    //disable elements
    tr.find("select option").filter(function()
    {
				
        return $.inArray($(this).val(),arr)>-1; //if value is in the array of selected values
     }).attr("disabled","disabled");   

});