How many positive integers C less than 10,000 are such that the product of their digits is 210?	Choose the correct choice:
A) 24
B) 30
C) 48
D) 54
E) 72
210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.   So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to  24 + 6 + 24= 
<gadget id="calculator"> 24 + 6 + 24</gadget>
<output>54</output>
54, 54 is the answer.
<result>D</result>
How many positive integers C less than 10,000 are such that the product of their digits is 210?