How many three digit numbers X greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once? Choose the correct choice from the following
A) 72	B) 48	C) 120	D) 96	E) 76
Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.   ABC three digit numbers greater than 300 - total of  4*5*4= 
<gadget id="calculator"> 4*5*4</gadget>
<output>80</output>
80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.   Between 300 and 330 there are   1*2*4= 
<gadget id="calculator">  1*2*4</gadget>
<output>8</output>
8 numbers with the given property: A= 3, 1 possibility; B can be only 1 or 2 (ABC &lt; 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.   Total possible choice  80 - 8= 
<gadget id="calculator"> 80 - 8</gadget>
<output>72</output>
72=X   72nswer: 72.
<result>A</result>
How many three digit numbers X greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?