 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/b/ii/solution

The first four letters may be permuted in

4!

ways and the last two in

2!

ways without changing this partition. The multiplication principle therefore gives

4! 2! = 48 .

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