I assume you mean in America, in which it had a lot to do with freedom of speech,equality,freedom of press and religious toleration which was appealing to the people.
You may want to reword your answer. I did not understand the way you phrased it. Apologies. :l
They both explored the new land in the Louisiana Territory--Pike found the source of the Mississippi and Lewis and Clark discovered routes to the Pacific Ocean.
The explorations of Lewis and Clark are seen as more valuable because they found routes to the west which would allow more people to move west. They made connections to Native American groups and help to map out the western territory.
D. establishing separate schools for whites and blacks with equal facilities and materials
Plessy v. Ferguson decided that segregation was no unconstitutional and did not imply inequality. As long as the same materials were provided segregation could occur.
Plessy v. Ferguson was decided in 1898 and stood as the law and practice until the 1954 decision of Brown v. Board of Education. Segregation was deemed legal and expected in most states in the south. Even when there was clearly inequality between the level of the materials one would still argue it was equal. For example the white school has new books, the black school has books that are 10 years old would seemingly violate the law but politicians would argue they are equal because they both have books.