SOLUTION: Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people. A) describe what values if N would be

Question 891547: Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people.
A) describe what values if N would be admissible in this problem
B) Determine the number of people in the larger group, N
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people.
A) describe what values if N would be admissible in this problem.







,  
,    

So the number to pick 2 from in order to have 15 distinguishable possibilities
is 6.

Every time we pick 2 from the 6, we leave 4 behind. So there are also
15 ways to choose 4.  C(6,2) = C(6,4) = 15

So the admissible numbers we could pick 15 ways from the 6 are 2 and 4.

B) Determine the number of people in the larger group, N

Isn't it just asking for the larger group of 4?  (Am I missing something?)

Edwin

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