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answers to Frisbee golf example for BCR etc

# answers to Frisbee golf example for BCR etc - Frisbee golf...

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Frisbee golf example Suppose Chris is new to Frisbee golf. He is not very good yet, so the best he ever does on any given hole is a 3. However, he is very proud, so he never admits a score greater than 8, he will just say 8. How many possible different scores can Chris have on the first 9 holes? Answer 6^9 = 10077696. Six is because he has 6 options of a score per hole and the nine represents the 9 holes. Drew is feeling tired, so he does not want to play all 21 holes at Ross Hills Park. He only wants to play 12 different holes. In addition, he is feeling super lazy, so he will play whatever 12 holes someone else picks in numerical order. How many different sets of 12 holes are possible in this scenario? 21 choose 12 = 293930. We have a combination since order does not matter and sampling is w/o replacement (it is predetermined by the hole #) Imagine that Scuba Steve is feeling adventurous. He wants to play 15 different holes but in any order whatsoever that Sean picks. How many ways can Sean direct Scuba Steve around the course?

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