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Partitions of a Number
Partitions
In number theory and combinatorics, a partition
of a positive integer n, also called an integer
partition, is a way of writing n as a sum of
positive integers.
Partitions
Example: The five partitions of the number 4
are:
4
3 + 1
2 + 2
2 + 1 + 1
1 + 1 + 1 + 1
Partitions
Can you find all 15 partitions of the number 7?
7
6 + 1
5 + 2
5 + 1 + 1
4 + 3
4 + 2 + 1
4 + 1 + 1 + 1
3 + 3 + 1
3 + 2 + 2
3 + 2 + 1 + 1
3 + 1 + 1 + 1 + 1
2 + 2 + 2 + 1
2 + 2 + 1 + 1 + 1
2 + 1 + 1 + 1 + 1 + 1
1 + 1 + 1 + 1 + 1 + 1 + 1

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Partitions of a number sb

  • 2. Partitions In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.
  • 3. Partitions Example: The five partitions of the number 4 are: 4 3 + 1 2 + 2 2 + 1 + 1 1 + 1 + 1 + 1
  • 4. Partitions Can you find all 15 partitions of the number 7? 7 6 + 1 5 + 2 5 + 1 + 1 4 + 3 4 + 2 + 1 4 + 1 + 1 + 1 3 + 3 + 1 3 + 2 + 2 3 + 2 + 1 + 1 3 + 1 + 1 + 1 + 1 2 + 2 + 2 + 1 2 + 2 + 1 + 1 + 1 2 + 1 + 1 + 1 + 1 + 1 1 + 1 + 1 + 1 + 1 + 1 + 1