Mathematics

26 April, 09:40

A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the order of the numbers in the sum. for example, the number 4 can be written as a sum of one or more positive integers (where we don't care about the order of the numbers in the sum) in exactly five ways: / [4,/; 3 + 1,/; 2 + 2,/; 2 + 1 + 1,/; 1 + 1 + 1 + 1./] so 4 has five partitions. what is the number of partitions of the number 7? aops

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