How many odd three-digit integers greater than 300 are there such that all their digits are different?  Options:
A) 40  B) 156  C) 172  D) 181  E) 240
6 (hundred's digit) * 9 (ten's digit) * 8 (unit's digit) = 432   Now take numbers in the range 300 - 900.   Total numbers where all digits are different = 432 (as before)   [highlight]Number of odd numbers = 6 * 8 * 5= 
<gadget id="calculator">6 * 8 * 5</gadget>
<output>240</output>
240[/highlight] (now there are 5 possibilities for the unit's digit)   240
<result>E</result>
How many odd three-digit integers greater than 300 are there such that all their digits are different?