# SOLUTION: 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 p

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: 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 p      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 198047: 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? Found 2 solutions by solver91311, stanbon:Answer by solver91311(16872)   (Show Source): You can put this solution on YOUR website! There are 10 ways ( 0 through 9 ) to select the first number. Once the first number has been selected there remain 9 ways to select the second number because of the restriction on repetition of digits. Then 8 ways for the third number and 7 ways for the fourth number, hence: You can do your own arithmetic. John Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!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? --------------- # of sets of 4 digits is 10C4 = 210 --- # of arrangements of each set of 4 is 4!= 24 --------------------------------------------- Ans: # of code numbers is 24*210 = 5040 =================================================== Cheers, Stan H.