How can i open Apple Music without any card

Assuming your account is in good standing, you can redeem a gift card onto it to cover the subscription cost, or use some other payment method supported in your country. Some countries support PayPal, mobile billing and other methods.

click here ➜ How to redeem your Apple Gift Card, App Store Card, or App Store & iTunes Gift Card - Apple Support

and here ➜ Payment methods that you can use with your Apple Account - Apple Support