Of the three-digit positive integers whose three digits are all different and nonzero, how many are odd integers greater than 700?
Choose one:
A) 84
B) 91
C) 100
D) 105
E) 243
Number of combinations for type 1 : 1*7*4= 
<gadget id="calculator">1*7*4</gadget>
<output>28</output>
28   Number of combinations for type 2: 1*7*5= 35   Number of combinations for type 3 : 1*7*4= 
<gadget id="calculator">1*7*4</gadget>
<output>28</output>
28   Thus, total numbers possible= 28+35+28= 
<gadget id="calculator">28+35+28</gadget>
<output>91</output>
91.   91 is thus the correct answer
<result>B</result>
Of the three-digit positive integers whose three digits are all different and nonzero, how many are odd integers greater than 700?