SOLUTION: (This is a combination formula not a permutation)A radio station takes the names of the first 20 listeners who call in after hearing a certain song.The station will randomly select

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Question 134581This question is from textbook Pre-Algebra
: (This is a combination formula not a permutation)A radio station takes the names of the first 20 listeners who call in after hearing a certain song.The station will randomly select 3 of the callers to win tickets to a concert.If 3 friends are among the first 20 callers, what is the probability that the 3 friends will win tickets?
1)how many possible combinations of 3 callers can be selected to win tickets?
2)How many possible combinations of 3 ticket winners include all 3 of the friends?
3)Find the probability that the 3 friends win tickets.
This question is from textbook Pre-Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A radio station takes the names of the first 20 listeners who call in after hearing a certain song.The station will randomly select 3 of the callers to win tickets to a concert.If 3 friends are among the first 20 callers, what is the probability that the 3 friends will win tickets?
1)how many possible combinations of 3 callers can be selected to win tickets?
20C3 = 1140
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2)How many possible combinations of 3 ticket winners include all 3 of the friends?
3C3 = 1
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3)Find the probability that the 3 friends win tickets.
1/1140 = 0.00087719.....
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Cheers,
Stan H.