 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-2/14/a/i/solution

By the multiplication principle, the successive places have six, five, four, three, two and one available letters. Thus the number of permutations is

6! = 720 .

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