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Distinct prime factors are 3 and 5.
Leaving aside permutations, there are five distict ways of writing the number 4 as the sum of 5 non-negative integers.0 + 0 + 0 + 0 + 40 + 0 + 0 + 1 + 30 + 0 + 0 + 2 + 20 + 0 + 1 + 1 + 20 + 1 + 1 + 1 + 1
Infinitely many. Infinitely many. Infinitely many. Infinitely many.
Infinitely many. Infinitely many. Infinitely many. Infinitely many.
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