Question

How many integers between 100 and 999 consist of distinct odd digits?

Answer 1

We can use arithmetic progression for gaining the number of odd digits.

Answer is there are 449 terms between 100 and 999

(Between is stated in the question which means that 999 won't be included)

Answer 2

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There are 320 such numbers between 100 and 999 which are odd and have distinct digits.