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No digit may repeat. How many odd 3-digit numbers can be formed using the digits 1 to 9?

Competition practicePermutations & Combinations
  • A336
  • B280
  • C405
  • D504

Step-by-Step Solution

Fill the units place first: 1, 3, 5, 7 or 9 (5 ways). Then hundreds: 8 ways, tens: 7 ways. . (504 counts all numbers, odd or not.)
Answer: B) 280

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