Correct Answer - Option 2 : 75
Given:
5, 6, 7, 8, 9 are the digits to form 3 digit number
Calculation:
Let us take the 3digit number as H T U (Hundreds, tens, unit digit) respectively
To make 3 digit number as odd
5, 7, 9 are only possibly be used in the unit digit place
In hundreds and tens place all 5 digits are possible
Number of ways for unit digit = 3
Number of ways for tens digit = 5
Number of ways for hundreds digit = 5
Number of 3 digits odd number = 3 × 5 × 5 = 75
∴ 75 Three-digit odd numbers can be formed from the digits 5, 6, 7, 8, 9 if the digits can be repeated