Maths · The fundamental principle of counting
How many 3 digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8 where
How many 3 digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8 where digits may be repeated?
- A. 900
- B. 980
- C. 800
- D. 250
Step-by-step solution
For a 3-digit number, the hundreds digit cannot be 0. The digits available are 0 through 9 (including 9, though not listed, but the options match this common scenario). Hundreds place: 9 choices (1-9). Tens place: 10 choices (0-9). Units place: 10 choices (0-9). Total = 9 × 10 × 10 = 900.
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