Manipal MET2021MathematicsPermutation and Combination
The number of three digit numbers which have at least two identical digit, is
Options
- A648
- B729
- C252
- D452
Correct answer
C. 252
Step-by-step solution
Number of three digits number when two 1's occur =9+8+9=26 . Similarly, for two 2's ... 9's We have, 26 9 numbers =234 numbers Number of numbers when two zero's occur =9 Number of numbers when all three digits are same = 9 Total three digit numbers having at least two identical digits =234+9+9=252