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 April 20th, 2014, 10:16 PM #1 Senior Member   Joined: Nov 2011 Posts: 101 Thanks: 0 "how many" questions 1. how many ordered lists with entries from {1, 2, 3, 4, 5, 6} of length 3 are there? answer - 216 2. a certain state has a simple rule for its license plates: use two letters followed by four digits. how many possible plates are there? answer - 6,760,000 3. we will represent the results of ten tosses of a coin as an ordered list of length 10 with entries from {H,T}. how many different results are possible? answer - 1,024 4, A password has six numbers, each in the range 1 to 9. how many different passwords are there? answer - 531,441 can anyone show me how you get this answers? April 20th, 2014, 11:31 PM #2 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs 1.) You have 6 choices for each of the 3 elements, hence: $\displaystyle N=6\cdot6\cdot6=216$ 2.) You have 26 choices for the first two elements and 10 choices for the next 4 elements, hence: $\displaystyle N=26^2\cdot10^4=6760000$ 3.) You have 2 choices for each of the 10 elements, hence: $\displaystyle N=2^{10}=1024$ 4.) You have 9 choices for each of the 6 elements, hence: $\displaystyle N=9^6=531441$ Tags how many, questions Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Tzad Algebra 14 September 14th, 2013 06:34 PM SedaKhold Calculus 0 February 13th, 2012 11:45 AM The Chaz Calculus 1 August 5th, 2011 09:03 PM Aggie10 Algebra 12 September 11th, 2010 07:27 PM katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM

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