Hello ,
As your query is you want to reappear in the CBSE examination that is going to held in 2020 in all the 5 subjects as you failed in one subject only.
I would like to tell you that as your issue is concerned definitely you can apply for the examination as a private candidate. And eventually that would be better because you will get a plenty amount of time to prepare and look over for other entrance exam as a further option in career.
Further, if you have any other query regarding the same you can let me know in the comment section below.
I hope your query is solved.
Thank you.
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