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February 25th, 2010, 04:04 AM  #1 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  2 question in permutations and Combination
1 ) There are 10 teams in a league. If each team is to play every other team exactly once, A ) How many games must be scheduled? B ) How many games must be on each team? [color=#BF0000] A ) 10C9 = 10 B ) 10C1 = 10[/color] 2 )_A catering service offers 8 appetizers, 10 main courses and 7 desserts. A Chairperson is to select 3 appetizers, 4 main courses and 2 desserts for A dinner. How many way can this be done? [color=#BF0000]Here in this question we use C or P and why?[/color] 
February 25th, 2010, 12:20 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,583 Thanks: 610  Re: 2 question in permutations and Combination
Your first question answers look completely wrong. A) is 45 and B) is 9.

February 26th, 2010, 03:54 AM  #3  
Member Joined: Feb 2010 Posts: 51 Thanks: 0  Re: 2 question in permutations and Combination Quote:
answer for 1A is 10C2 = 45 There are 10 teams and in each match, there will be 2 teams playing with each other. The reason to choose 'C' but NOT 'P' is because the order is not important. For example, Team A playing with Team B is just the same as Team B playing with Team A. When we use 'P', the order is important, for example,the arrangement of AB is not the same as BA. For part b, since the question states that 'There are 10 teams in a league. If each team is to play every other team exactly once', that already shows that there are 9 matches each team is going to play (**Team A can't play with Team A in a competition, right?) Well, I don't know whether it is the correct explanation because I just learnt it last month and that's just the way my maths teacher taught us. Hope that it helps  
March 4th, 2010, 08:19 AM  #4 
Newbie Joined: Mar 2010 Posts: 2 Thanks: 0  Re: 2 question in permutations and Combination
2 more que's.... Q1) Calculate the number of ways in which the letters of the word TRIANGLES can be arranged if no two vowels may come together. Q2) How many 7digit numbers can be formed from the digits 0,1,2,2,3,3,3 assuming that a number can't start with 0 ????????? 
March 4th, 2010, 09:08 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,515 Thanks: 1745 
Hi maria1 Please create a new topic for your question instead of adding it to an existing topic. 

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