How many odd three-digit integers greater than 800 are there such that all their digits are different?  Choose the correct choice from the following:  A) 40  B) 60  C) 72  D) 81  E) 104
In the range 800 - 900:   1 choice for the first digit: 8;   5 choices for the third digit: 1, 3, 5, 7, 9;   8 choices for the second digit: 10 digits - first digit - third digit = 8 digits.   1*5*8= 
<gadget id="calculator">1*5*8</gadget>
<output>40</output>
40.   In the range 900 - 999:   1 choice for the first digit: 9;   4 choices for the third digit: 1, 3, 5, 7 (9 is out as it's first digit);   8 choices for the second digit: 10 digits - first digit - third digit= 8 digits.   1*4*8= 
<gadget id="calculator">1*4*8</gadget>
<output>32</output>
32.   Total:  40+32= 
<gadget id="calculator"> 40+32</gadget>
<output>72</output>
72.   Answer: 72
<result>C</result>
How many odd three-digit integers greater than 800 are there such that all their digits are different?