Question
Mathematics Question on Permutations
The number of three digit numbers in which 9 appears only in one place is
A
243
B
234
C
217
D
225
Answer
225
Explanation
Solution
The number of three digit numbers in which 9 appears at hundred place only is =1×9×9=81 Similarly, the number of three digit numbers in which 9 appears at ten or unit place only is
=(8×1×9)×2=144
So, required number =81+144=225