Q. The number of three-digit numbers strictly greater than hundred, containing only digits 0, 1, 2, 3, 4 is ________.

TITA type i.e. Type In The Answer type

99

Digits to be used: 0, 1, 2, 3, 4. Further we can repeat digits since nothing is mentioned.

_ _ _ > 100

Case 1:

1st position: 1

2nd position: 5 possibilities

3rd position: 5 possibilities

Case 2:

1st position: 2/3/4

2nd position: 5 possibilities

3rd position: 5 possibilities

Total possibilities = 5 × 5 + 3 × 5 × 5 – 1(for 100) = 99