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How many ways can you give 13 (identical) apples to your 7 favourite Mathematics lecturers (without any restrictions)? Answer: How many ways can you

How many ways can you give 13 (identical) apples to your 7 favourite Mathematics lecturers (without any restrictions)? Answer: How many ways can you give 13 (identical) apples to your 7 favourite Mathematics lecturers if each of them gets at least one apple? Answer: How many ways can you give 13 (identical) apples to your 7 favourite Mathematics lecturers if each of them gets at most two apples? Answer:

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