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Find the number of triples of positive integers (a,b,c) that satisfy a + b + c = 6.

 Jun 3, 2020
 #1
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a+b+c =6.

There are these ways to make 6:

3+2+1

2+2+2,

 

We can then sort this list into 3 dfferent, 2 different, and no different.

Lets start easy.

3 same gets us only one way to permutate the numbers.         1

2 same gives us 2! ways to permutate the numbers(But we don't have any 2s)     0

and three different gives us 3! ways to permute          6

We have 7 ways to make 6 out of non zero positive whole numbers.

 Jun 3, 2020

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