Question

How many six digit odd numbers can be formed from the digits 0, 2, 3, 5, 6, 7, 8, and 9 (repetition not allowed)?

Answer 1

Just keep the odd numbers in a row at first

Next keep different numbers in a row

Each should not be same with each other

Answer 2

Total number of digits to be used 8

Unit digit can hold any of the 4-digits; 3,5,7 or 9 for an odd digit.

And 0 can't be the leading digit of the 6-digit number.

Therefore, (7*6*5*4*3*4)-(Number of cases when 0 is the 6-digit).

Therefore, (7*6*5*4*3*4)-(6*5*4*3*4)
=10080-1440
=8640