
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 20th, 2014, 11:16 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 21st, 2014, 12:31 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 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  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Math Homework Help "Extend and Challenge" Questions  Tzad  Algebra  14  September 14th, 2013 07:34 PM 
A "simple" application of dirac delta "shift theorem"...help  SedaKhold  Calculus  0  February 13th, 2012 12:45 PM 
"separate and integrate" or "Orangutang method"  The Chaz  Calculus  1  August 5th, 2011 10:03 PM 
"Simplify the Expression" 4 Questions  Aggie10  Algebra  12  September 11th, 2010 08:27 PM 
sample exerimentneed help finding "statistic" and "result"  katie0127  Advanced Statistics  0  December 3rd, 2008 02:54 PM 