No, is it not possible for a state to have more senators than representatives.
The Constitution has prescribed that the Senate must be composed of two senators which are from each State and that a senator must be of at least thirty years of age, should also have been a citizen of the United States for nine years, and, when elected, must be a resident of the State.
The Article I, Section II of the Constitution says that each state should have at least one U.S. Representative, whereas the total size of a state's delegation to the House thus depends on its population.
Hence, each state is said to send two Senators to represent their state in the U.S. Senate.
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