How many numbers greater than 23000 can be formed with 1234 5?

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1271543

2026-08-04 00:25

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To form numbers greater than 23000 using the digits 1, 2, 3, 4, and 5, we can start with the thousands place. The digits that can be used in the thousands place to ensure the number is greater than 23000 are 3, 4, and 5.

  1. If the thousands digit is 3, the remaining digits (1, 2, 4, 5) can be arranged in any order, giving us (4! = 24) combinations.
  2. If the thousands digit is 4 or 5, we can use any of the remaining 4 digits, resulting in (4! = 24) combinations for each case.

So, the total combinations are (24 (for 3) + 24 (for 4) + 24 (for 5) = 72). Thus, 72 numbers greater than 23000 can be formed.

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