A dependent cannot get education credits. If you are claiming your child as a dependent then the child cannot get an education credit. And if you are NOT claiming the child---YOU cannot get an education credit for them.
You do not "choose" whether your child can be claimed. You follow the rules. If the child CAN be claimed then they have to say on their own return that they can be claimed as someone else's dependent.
https://ttlc.intuit.com/community/dependents/help/when-do-i-have-to-answer-yes-to-being-claimed-as-a...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
