
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 9th, 2018, 10:18 PM  #1 
Newbie Joined: Sep 2018 From: Australia Posts: 2 Thanks: 0  Total Combinations
Hi Forum, I have 10 football matches being played on the weekend (Team 1 vs Team 2, Team 3 vs Team 4...Team 19 vs Team 20). I want to have a bet on a multi/parlay/accumulator with 4 teams in the bet. I want to work out how many combinations of 4 teams (each playing in different matches) exists (e.g. Teams 1357 would be the first combination). I have written down as methodically as I can every combination in an Excel file and come up with 3352 total combinations. I want to confirm I have recorded all possible combinations. Does anyone know how to calculate the total number of combinations that should exist? Thanks, Rob 
September 9th, 2018, 10:29 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,174 Thanks: 1143 
First you pick 4 of the 10 games. This is $\dbinom{10}{4}= 210$ Then for each of those games you have 2 choices of which team to bet on. That gets you $2^4=16$ So the total combos is $210 \cdot 16 = 3360$ 
September 9th, 2018, 11:38 PM  #3 
Newbie Joined: Sep 2018 From: Australia Posts: 2 Thanks: 0 
Thanks romsek! I'm 8 combos short. Will go looking now! Cheers, Rob 

Tags 
combinations, total 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Total number of combinations  crone  Advanced Statistics  5  July 26th, 2013 02:01 PM 
Total no of combinations here  AamirAli  Algebra  5  March 4th, 2013 02:39 AM 
total derivative  reemas  Calculus  3  October 22nd, 2011 08:21 PM 
Complex Combinations Within Combinations Problem?  bugrocket  Advanced Statistics  2  January 23rd, 2011 05:02 PM 
Combinations within combinations possibilities?  aimpro2000  Advanced Statistics  2  September 20th, 2010 03:12 PM 