In 8 ways the number 10 can be written as the sum of exactly three positives and not necessarily different integers if the order in which the sum is written does not matter .
What is positive integers ?
Positive integers are all whole numbers, both positive and negative, that are larger than zero and do not include fractions or decimals
According to the question
The ways can the number 10 be written as the sum of exactly three positives and not necessarily different integers order doesn't matter
Now ,
10 as sum of 3 positive integers
10 = 1 + 1 + 8
10 = 1 + 2 + 7
10 = 1 + 3 + 6
10 = 1 + 4 + 5
10 = 2 + 2 + 6
10 = 2 + 3 + 5
10 = 2 + 4 + 4
10 = 3 + 3 + 4
Hence, In 8 ways the number 10 can be written as the sum of exactly three positives and not necessarily different integers if the order in which the sum is written does not matter .
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