Difference between revisions of "2019 AMC 8 Problems/Problem 25"
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==Problem 25== | ==Problem 25== | ||
Alice has <math>24</math> apples. In how many ways can she share them with Becky and Chris so that each of the people has at least <math>2</math> apples? | Alice has <math>24</math> apples. In how many ways can she share them with Becky and Chris so that each of the people has at least <math>2</math> apples? | ||
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| + | ==Solution 1== | ||
| + | Using [[Stars and bars]], and removing <math>6</math> apples so each person can have <math>2</math>, we get the total number of ways, which is <math>{20 \choose 2}</math>, which is equal to <math>190</math>. ~~SmileKat32 (why isn't the answers online?) | ||
Revision as of 01:20, 20 November 2019
Problem 25
Alice has 
apples. In how many ways can she share them with Becky and Chris so that each of the people has at least 
apples?
Solution 1
Using Stars and bars, and removing 
apples so each person can have , we get the total number of ways, which is 
, which is equal to 
. ~~SmileKat32 (why isn't the answers online?)
