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How many 2-digit numbers have two different digits?

Competition practicePermutations & Combinations
  • A81
  • B90
  • C72
  • D100

Step-by-Step Solution

Tens digit 1–9: 9 ways. Units digit: any of the 10 digits except the tens digit, 9 ways. . (90 counts all 2-digit numbers, including 11, 22, …)
Answer: A) 81

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