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Permutations and Combinations · Discussion forum

Medium Level Question 14 – answer, explanation & discussion

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Question 14 Back to Exercise

How many solutions in non-negative integers does x + y + z = 10 have?

  • A 36
  • B 55
  • C 66 Correct
  • D 120
Correct Answer: Option C

Stars and bars: (10 + 2)C2 = 12C2 = 66

Trap: 36 = 9C2 requires each to be at least 1.

Answer: 66

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