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Australian AMC 2012 - Intermediate Question 18

AMC AUSTRALIA · Australian AMC 2012 - Intermediate

Question 18

A partition of a positive integer is a way of writing the integer as a sum of at least two positive integers. For example, the partitions of 4 are:

$$3+1,\quad2+2,\quad2+1+1\quad\text{and}\quad1+1+1+1.$$

How many partitions of 7 are there?
  1. 11
  2. 12
  3. 13
  4. 14
  5. 15