Hello student,
With a rank of 12,888 in the general category, you have chances of procuring a seat in the following IHM's when comparing the results of previous years.

• SIHM yamuna nagar, Haryana
• SIHM Telengana

Only these two government institutions are possible in the first round. But you can apply for any private institutes or wait till the next round. Also, one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can predict the colleges which you are likely to get using the given link

https://hospitality.careers360.com/nchm-jee-college-predictor

Good luck

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