Question 731888: The numbers 0 through 6 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?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The numbers 0 through 6 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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0 thru 6 = 7 numbers
The 1st choice is 1 of 7, then 1 of 6, then 5, then 4
= 7*6*5*4
= 840
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