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Exam Pattern Mix Question 18 – answer, explanation & discussion

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Question 18 Back to Exercise

How many three-digit numbers have all their digits different and in increasing order from left to right (like 158)?

  • A 84 Correct
  • B 120
  • C 72
  • D 504
Correct Answer: Option A

Choose any 3 different digits from 1 – 9 (0 cannot be the first digit of an increasing number).

They can be arranged in increasing order in exactly one way.

Count = C(9, 3) = 84

Answer: 84

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