In brown v. board of education, the supreme court upheld the doctrine of "separate but equal" banned segregation in hotels, theaters, and restaurants declared segregation in public schools unconstitutional ordered the integration of all public schools by 1956

In Brown v. Board of Education, the Supreme Court declared segregation in public schools unconstitutional.

This decision overturned Plessy v. Ferguson (the decision that supported separate but equal, so choice 1 is incorrect) and declared that racially segregated schools were unconstitutional. As well, it specifically concerned state-sponsored schools, so choice 2 is also incorrect. Lastly, though it paved the way for integration, it didn't order it, so choice 4 is incorrect. Ultimately, choice 3 is the best because Brown v. the Board of education did deem segregation in state sponsored schools to be unconstitutional.