How many possible ordered triples (x1, x2, x3) are there such that x1, x2, x3 are non-negative integers and X1 + x2 + X3 = 38? Answer: 80080 The correct answer is: 780

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Please explain in detail (with diagrams if possible) why the answer is 40C2 and not 38C3
How many possible ordered triples (x1, x2, x3) are there such that x1, x2, x3 are non-negative integers and
X1 + x2 + X3 = 38?
Answer:
80080
The correct answer is: 780
Transcribed Image Text:How many possible ordered triples (x1, x2, x3) are there such that x1, x2, x3 are non-negative integers and X1 + x2 + X3 = 38? Answer: 80080 The correct answer is: 780
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