All partitions of 10 into size 6

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SUMMARY

The discussion focuses on finding all partitions of the integer 10 into exactly 6 terms. The user initially identifies four partitions: 10=5+1+1+1+1+1, 10=4+2+1+1+1+1, 10=3+2+2+1+1+1, and 10=2+2+2+2+1+1. After some deliberation, the user discovers the fifth partition, which is 10=3+3+1+1+1+1. This highlights the importance of thorough exploration in combinatorial problems.

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Mr Davis 97
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I am trying to find all partitions of 10 into a sum with 6 terms. Apparently there are five, but I can only find four.

10=5+1+1+1+1+1
10=4+2+1+1+1+1
10=3+2+2+1+1+1
10=2+2+2+2+1+1

I honestly don't see how there can be another partition...

EDIT: Nevermind... Found it...
 
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