Final answer:
The Compromise of 1850 included the admission of California as a free state, a ban on the slave trade in Washington, DC, and slavery restrictions in the New Mexico territories. The correct answer is option C. and D.
Step-by-step explanation:
The Compromise of 1850 was a series of legislative measures aimed at resolving the issue of slavery and its expansion in the United States. One provision of the Compromise was the admission of California as a free state, contradicting option B. Another provision was the ban on the slave trade in Washington, DC, contradicting option D. Furthermore, the Compromise included slavery restrictions in the New Mexico territories, contradicting option C.