<PRE><B>Question 198047</B>
The numbers 0 through 9 are used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed? 
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# of sets of 4 digits is 10C4 = 210
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# of arrangements of each set of 4 is 4!= 24
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Ans: # of code numbers is 24*210 = 5040
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Cheers,
Stan H.</PRE>