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Consider all 3-digit numbers in which the hundreds digit is greater than the units digit (for example 510, since 5 > 0).
How many such 3-digit numbers are there?

Class 6Comparing NumbersNumbers
  • A495
  • B900
  • C405
  • D450

Step-by-Step Solution

Hundreds a from 1-9, units from 0-9 with . For fixed a, can be 0.., giving a choices; tens digit b is free (10 choices). Number of (a,c) pairs = 1+2+...+9 = 45. Total = .
Answer: D) 450

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