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A country has 7 major cities. Each pair of cities is connected by a direct rail link. How many rail links are needed? (ii) How

A country has 7 major cities. Each pair of cities is connected by a direct rail link. How many rail links are needed? (ii) How many distinct arrangements of the word "discombobulation" are possible? (iii) A password for a computer system must consist of 4 letters (all lower case) followed by 2 digits. Letters and digits can be repeated. How many distinct passwords are possible?

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