The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12?


[PLZ HELP ASAP](/questions/plz-help-asap_51)
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1134  
 1143  
 1223  
 1232  
 1314  
 1322  
 1341  
 1413  
 1431  
 2123  
 2132  
 2213  
 2231  
 2312  
 2321  
 3114  
 3122  
 3141  
 3212  
 3221  
 3411  
 4113  
 4131  
 4311

  

 ==> 24 numbers  
  


If by "distinct four-digits" you mean "no repeats allowed", then the answer is =0 or none! if you allow repeats as as 1126, then you have a total = 36 such numbers.

  

 1126  1134  1143  1162  1216  1223  1232  1261  1314  1322  1341  1413  1431  1612  1621  2116  2123  2132  2161  2213  2231  2312  2321  2611  3114  3122  3141  3212  3221  3411  4113  4131  4311  6112  6121  6211  Total =  36

