The Constitution of Denmark requires a supermajority in the Folketing, the Danish Parliament, for the government to cede parts of national sovereignty to the United Nations. A supermajority is achieved if at least five times of the members of the Folketing vote for the cession as those who vote against it. If the Folketing has 179 members, and each member either votes for or against this issue, how many must vote against it to prevent a supermajority?

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Chapter9: Sequences, Probability And Counting Theory
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The Constitution of Denmark requires a supermajority in the Folketing, the Danish Parliament, for the government to cede parts of national sovereignty to the United Nations. A supermajority is achieved if at least five times of the members of the Folketing vote for the cession as those who vote against it. If the Folketing has 179 members, and each member either votes for or against this issue, how many must vote against it to prevent a supermajority?

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