alice has 24 apples. in how many ways can she share them with becky and chris so that each of the people has at least 2 apples?

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18-11-2022
Mathematics

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alice has 24 apples. in how many ways can she share them with becky and chris so that each of the people has at least 2 apples?

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contexto1005 contexto1005 · Answer 1 · 2022-11-23T11:17:49+01:00

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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