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How many 5-digit numbers have digits that strictly decrease from left to right (like 97420)?

Competition practicePermutations & Combinations
  • A126
  • B30240
  • C252
  • D210

Step-by-Step Solution

Choose any 5 different digits from 0–9; writing them in decreasing order gives exactly one valid number, and 0 can only come last, so it never leads. wrongly drops 0.)
Answer: C) 252

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