Complete the following without listing all 120 permutations in S5. 1. Determine the number of cycles of each possible length in S5. Justify your answer. 2. Use (1) to determine all possible orders of permutations in Sz.

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Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

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Q: What is the maximimal number of inversions for a permutation in Sn?

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Q: SHOW THE FULL SOLUTION OF THIS PERMUTATION 3!

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Q: List elements of D4 as permutations in S4

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Q: d) How many 7 bit strings have exactly three l's?

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Q: Compute the following: N!(N-4)!

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Q: List all of the cycles in S4.

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A: The permutation is calculated for the values which are arranged in the order from. It is denoted as…