How many odd three-digit integers greater than 700 are there such that all their digits are different?
Choose the correct choice from the following options
A) 40 B) 56 C) 72 D) 80 E) 104
2 (hundred's digit) * 9 (ten's digit) * 8 (unit's digit) = 144   Now take numbers in the range 700 - 900.   Total numbers where all digits are different = 144 (as before)   [highlight]Number of odd numbers = 2 * 8 * 5= 
<gadget id="calculator">2 * 8 * 5</gadget>
<output>80</output>
80[/highlight] (now there are 5 possibilities for the unit's digit)   80
<result>D</result>
How many odd three-digit integers greater than 700 are there such that all their digits are different?