vuejs v-model on multiple checkboxes

I'm having a hard time figuring out why all my checkboxes are becoming checked at once in my mapped vuejs tags.

I only want to check them one at a time but I can't remove the checkbox inputs from inside the

or my reference to student.someValue becomes undefined.

<div class="modal-body modalBody" >
  <form @submit.prevent="makeExclusionGroup">
   <ul>
     <li class="listItems" v-for="(student, index) in students">
      
      <input v-model="toExclude.selected" id="student.index" :value="student.full_name" type="checkbox"> 
     </li>                  
   </ul>
 </form>
</div>