SOLUTION: license plate begins with 3 letters. If the possible letters are A, B, C, D, E, and F, how many of these letters can be made if no letter is used more than once?!

Algebra ->  Permutations -> SOLUTION: license plate begins with 3 letters. If the possible letters are A, B, C, D, E, and F, how many of these letters can be made if no letter is used more than once?!       Log On


   

Question 949166: license plate begins with 3 letters. If the possible letters are A, B, C, D, E, and F, how many of these letters can be made if no letter is used more than once?!
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


FYI, ere is a computer list of all 120 possible licence plates:


  1.ABC    2.ABD    3.ABE    4.ABF    5.ACB    6.ACD    7.ACE    8.ACF    9.ADB  10.ADC
 11.ADE   12.ADF   13.AEB   14.AEC   15.AED   16.AEF   17.AFB   18.AFC   19.AFD  20.AFE
 21.BAC   22.BAD   23.BAE   24.BAF   25.BCA   26.BCD   27.BCE   28.BCF   29.BDA  30.BDC
 31.BDE   32.BDF   33.BEA   34.BEC   35.BED   36.BEF   37.BFA   38.BFC   39.BFD  40.BFE
 41.CAB   42.CAD   43.CAE   44.CAF   45.CBA   46.CBD   47.CBE   48.CBF   49.CDA  50.CDB
 51.CDE   52.CDF   53.CEA   54.CEB   55.CED   56.CEF   57.CFA   58.CFB   59.CFD  60.CFE
 61.DAB   62.DAC   63.DAE   64.DAF   65.DBA   66.DBC   67.DBE   68.DBF   69.DCA  70.DCB
 71.DCE   72.DCF   73.DEA   74.DEB   75.DEC   76.DEF   77.DFA   78.DFB   79.DFC  80.DFE
 81.EAB   82.EAC   83.EAD   84.EAF   85.EBA   86.EBC   87.EBD   88.EBF   89.ECA  90.ECB
 91.ECD   92.ECF   93.EDA   94.EDB   95.EDC   96.EDF   97.EFA   98.EFB   99.EFC 100.EFD
101.FAB  102.FAC  103.FAD  104.FAE  105.FBA  106.FBC  107.FBD  108.FBE  109.FCA 110.FCB
111.FCD  112.FCE  113.FDA  114.FDB  115.FDC  116.FDE  117.FEA  118.FEB  119.FEC 120.FED

Edwin