MHB In how many ways i can put two three things in two bags

[rajemessage]

Dear all,

I have two oranges,one apple and one banana.
i want to put two of them at a time in two bags having one each.
in how many ways i put them?yours sincerely

 

[soroban]

Hello, rajemessage!

The instructions are not clear.
I assume my interpretation is correct.

In how many ways i can put three apples in two bags?
Each bag will have at least one apple.

I assume that the three apples are distinguishable
\quadas are the two bags.
Then we have six ways: \;\begin{array}{ccc} |AB|C| & |A|BC| \\ |AC|B| & |B|AC|\\ |BC|A| & |C|AB| \end{array}

If the three apples are identical, we have two ways: \;\begin{array}{cc} |**|*| \\ |*|**| \end{array}

If the two bags are also identical we have one way:
\quadone apple in one bag, two apples in the other.

 

[rajemessage]

I have two oranges,one apple and one banana.
i want to put two of them at a time in two bags having one(one froot at max in one bag) each.

There are two oranges and they are indistinguisable(they are two but their value is same).
[order does matter for all combination]
bags have positions like first bag will be at first position and second will be at second position and it will not be changed.

so please tel me in how many ways i put them in bags?
yours sincerely

 

[rajemessage]

how to find combinatin in following situation

I have two oranges,one apple and one banana.
i want to put two of them at a time in two bags having one(one fruit at max in one bag) each.

There are two oranges and they are indistinguishable(they are two but their value is same).
[order does matter for all combination]
bags have positions like first bag will be at first position and second will be at second position and it will not be changed.

so please tel me in how many ways i put them in bags?
yours sincerely

 

[Jameson]

I have two oranges,one apple and one banana.
i want to put two of them at a time in two bags having one(one fruit at max in one bag) each.

There are two oranges and they are indistinguishable(they are two but their value is same).
[order does matter for all combination]
bags have positions like first bag will be at first position and second will be at second position and it will not be changed.

so please tel me in how many ways i put them in bags?

Hi rajemessage, :)

I'm a little confused by the wording of the problem but as I understand your description, you basically are trying to select two items of out 4 to put into 2 bags. Since only 1 item can be placed in each bag, this is really just choosing two items. We are looking for the number of unique pairs from this group, where order matters.This problem is possible to do by brute force actually since the number of items is small.

A few possible arrangements would be "Orange,apple", "Apple, orange" and "Orange, banana". Can you list the rest?

 

[MarkFL]

I have two oranges,one apple and one banana.
i want to put two of them at a time in two bags having one(one fruit at max in one bag) each.

There are two oranges and they are indistinguishable(they are two but their value is same).
[order does matter for all combination]
bags have positions like first bag will be at first position and second will be at second position and it will not be changed.

so please tel me in how many ways i put them in bags?

yours sincerely

I too am confused, but my confusion lies primarily with the fact that you created a new thread to ask a question you previously asked. (Tmi)

I have merged your two threads, and would ask that in the future you not re-post the same question more than once. Not only is it just downright inefficient to have the same questions posted multiple times, it can also lead to duplication of effort on the part of our helpers, and we value their time greatly and do not want to see it wasted.

As you can see, people are a bit unclear on the actual problem, so I suggest you state the problem exactly as given and show what you have tried so our helpers know where you are stuck and can offer the best help possible. :D