How many odd three-digit integers greater than 400 are there such that all their digits are different?
Choose the correct choice from the following choices
A) 140	B) 156	C) 172	D) 181	E) 200
5 (hundred's digit) * 9 (ten's digit) * 8 (unit's digit) = 360   Now take numbers in the range 400 - 900.   Total numbers where all digits are different = 360 (as before)   [highlight]Number of odd numbers = 5 * 8 * 5= 
<gadget id="calculator">5 * 8 * 5</gadget>
<output>200</output>
200[/highlight] (now there are 5 possibilities for the unit's digit)   200
<result>E</result>
How many odd three-digit integers greater than 400 are there such that all their digits are different?