Rylan’s basketball team has 11 players. how many ways can his coach choose five starting players? ✅ Mới nhất
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Published 10.04.2022 12:15 on the subject Math by cyrilc310
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How many ways can a basketball team of 7 players be chosen from 12 players? Select one: 84 b. None of these 792 d. 3991680
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Video Transcript
So in this problem let's discuss the difference between combination and permutation. So in a combination order doesn't matter. So this means that abc is the same thing as B. A. C. Right? All that matters is they're all chosen in a permutation order. Does matter. So it differentiates different type. So A B C would not be the same thing as B C B A C. Because they're in a different order. So there are two different. So in this case, How many ways can a basketball team of seven players be chosen from? 12? Does the order matter order? Does not matter. So this is a combination. This is from 12 people I'm choosing seven. So to calculate this is always the top number factorial over the bottom number factor tutorial over 12 -7 factorial. This will be 12 and a seven factorial will kind of cancel out. So I'm left with 12 times 11 times 10 times nine times 8. Okay. In the end remember factorial? Multiplied by decreasing amounts and this would be five factorial five times four times three times two times one, five and 2 or 10. Um three and 4 or 12. So really this is just 11 times nine times eight divided by one. There's approximately 792 ways for this to happen
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