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Hard Level Question 9 – answer, explanation & discussion

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Question 9 Back to Exercise

In how many ways can 4 numbers be chosen from 1 to 10 so that no two of them are consecutive?

  • A 35 Correct
  • B 210
  • C 70
  • D 56
Correct Answer: Option A

Choosing r non-consecutive from n: (n − r + 1)Cr

(10 − 4 + 1)C4 = 7C4 = 35

Answer: 35

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