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A library has 9 shelves numbered as 4-digit codes. The codes use digits 7, 5, 0, 3 each once.
How many such 4-digit codes are SMALLER than 5000?

Class 6Comparing NumbersNumbers
  • A12
  • B6
  • C5
  • D7

Step-by-Step Solution

Smaller than 5000 means the thousands digit must be 3 (the only available digit below 5 that is non-zero). The other three digits 7,5,0 arrange in 3! = 6 ways.
Answer: B) 6

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