I didn't sign up for this plan!

How did Adobe get your name, address, credit card number & expiration date if you didn't give it to them?

I think what actually happened is you or a family member joined a plan and didn't read the subscription terms you were agreeing to.

Log-in to your account below.
https://account.adobe.com/plans
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How do I Cancel my Subscription?
https://helpx.adobe.com/manage-account/using/cancel-subscription.html
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Subscription & Cancellation Terms:
https://www.adobe.com/legal/subscription-terms.html

If you need help, CONTACT ADOBE SUPPORT:
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Online Chat: https://helpx.adobe.com/contact.html?rghtup=autoOpen
Twitter: https://twitter.com/adobecare

did you start a trial?

if you never started a trial nor subscription and therefore suspect fraud, report it to your credit card issuer.

See here:
https://helpx.adobe.com/manage-account/using/creative-cloud-subscription-terms.html
and here:
https://helpx.adobe.com/manage-account/using/cancel-subscription.html

If you have trouble canceling, please go to Adobe Customer Service (Make sure to sign in to your Adobe account first and allow popups and cookies on your browser. You may not be able to see the chat window if using a VPN.):
https://helpx.adobe.com/contact.html?rghtup=autoOpen will automatically open the chat window.
Type "Agent" in the chat box to bypass the chatbot and be connected to a person.

You can also contact Adobe by X (was Twitter):
https://twitter.com/AdobeCare