MHB How many ways can the captain arrage her schedule?

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Captain Jane Way has a total of ten destinations to choose from for her charter plane trips. The number of ways she can arrange her schedule is calculated by finding the factorial of the number of destinations, which is 10!. For the first destination, she has ten choices available. Each subsequent choice decreases by one as destinations are selected. The total arrangements highlight the complexity and variety in scheduling for charter flights.
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Captain Jane Way is a charter plane pilot and has trips scheduled to Seattle,Dallas, San Francisco, New York, Portland, Omaha, Miami, Honolulu, Arlington, Los Angeles, and Chicago. How many ways can the captain arrage her schedule?
 
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How many choices does the good Captain have for the first destination on her schedule?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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