In how many ways can you give 7 cookies to 3 kids? Assume that the cookies are identical

Maths gurus in the house help.

Mikel99:
In how many ways can you give 7 cookies to 3 kids? Assume that the cookies are identical

check this

Mikel99:
In how many ways can you give 7 cookies to 3 kids? Assume that the cookies are identical

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Distributing 7 Cookies: 36 Ways


User
In how many ways can you give 7 cookies to 3 kids? Assume that the cookies are identical

ChatGPT
To distribute 7 identical cookies among 3 kids, we can use a concept called stars and bars, also known as balls and urns or sticks and stones. The stars and bars method helps us count the number of ways to distribute indistinguishable objects (cookies in this case) into distinguishable containers (kids in this case).

In this scenario, we can imagine the cookies as stars (*******) and the spaces between them as bars (| | | | | | |). Each bar represents a division between the kids, and the cookies to the left of the first bar go to the first kid, the cookies between the first and second bars go to the second kid, and the remaining cookies go to the third kid.

For example, **|**|*| represents 2 cookies for the first kid, 4 cookies for the second kid, and 1 cookie for the third kid.

Now, we need to count the number of ways to arrange 7 stars and 2 bars (to separate the 3 kids). The total number of objects is 7 stars + 2 bars = 9 objects. We need to choose the positions for the bars, which can be done in C(9, 2) ways, where C(n, r) represents the combination formula.

Using the formula for combinations, C(n, r) = n! / (r!(n-r)!), we can calculate the number of ways as follows:

C(9, 2) = 9! / (2!(9-2)!)
= 9! / (2!7!)
= (9 * 8 * 7!) / (2! * 7!)
= (9 x8) / 2!
= 72 / 2
= 36

Therefore, there are 36 ways to distribute 7 identical cookies among 3 kids.

NDSMELODY:
check this

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From chatgpt
Open sidebar
Distributing 7 Cookies: 36 Ways


User
In how many ways can you give 7 cookies to 3 kids? Assume that the cookies are identical

ChatGPT
To distribute 7 identical cookies among 3 kids, we can use a concept called stars and bars, also known as balls and urns or sticks and stones. The stars and bars method helps us count the number of ways to distribute indistinguishable objects (cookies in this case) into distinguishable containers (kids in this case).

In this scenario, we can imagine the cookies as stars (*******) and the spaces between them as bars (| | | | | | |). Each bar represents a division between the kids, and the cookies to the left of the first bar go to the first kid, the cookies between the first and second bars go to the second kid, and the remaining cookies go to the third kid.

For example, **|**|*| represents 2 cookies for the first kid, 4 cookies for the second kid, and 1 cookie for the third kid.

Now, we need to count the number of ways to arrange 7 stars and 2 bars (to separate the 3 kids). The total number of objects is 7 stars + 2 bars = 9 objects. We need to choose the positions for the bars, which can be done in C(9, 2) ways, where C(n, r) represents the combination formula.

Using the formula for combinations, C(n, r) = n! / (r!(n-r)!), we can calculate the number of ways as follows:

C(9, 2) = 9! / (2!(9-2)!)
= 9! / (2!7!)
= (9 * 8 * 7!) / (2! * 7!)
= (9 x8) / 2!
= 72 / 2
= 36

Therefore, there are 36 ways to distribute 7 identical cookies among 3 kids.

Thanks

Mikel99:

Thanks

Thank the pioneer of chatgpt and learn how to use it as your PA

joinnow:

Thank the pioneer of chatgpt and learn how to use it as your PA

I once downloaded the Ai software but I didn't have the money for subscription

Mikel99:

I once downloaded the Ai software but I didn't have the money for subscription

Chatgpt 3 it's the free version.
To use chartgpt 4 for free
Google how to use chatgpt 4 for free and start using it.

joinnow:

Chatgpt 3 it's the free version.
To use chartgpt 4 for free
Google how to use chatgpt 4 for free and start using it.

that chat gpt is a dumb ass.
Missing my questions.

Mikel99:

I once downloaded the Ai software but I didn't have the money for subscription

Please don't listen to that guy asking you to use chatGPT, you become Dependent and hooked that you'll have to be going to it for simple questions you can use common sense to answer. Basically your ability to solve problems will drastically reduce, plus chatGPT has been giving wrong answers in physics and maths, every question I've throwed at it always comes back wrong.

Mikel99:
that chat gpt is a dumb ass.
Missing my questions.

most time you are the one missing the prompt. to get good answer / response your question must be prompted well