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The order does not matter eg 112233 is the same as 332211.
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The order does not matter eg 112233 is the same as 332211.

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do you have to have at least one of each type?<br />
ie is 222333 aceptable?
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do you have to have at least one of each type?
ie is 222333 aceptable?

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I want to do this programmatically. &nbsp;Is there a formula?
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I want to do this programmatically.  Is there a formula?

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Thanks. &nbsp;I'll work on the programming bit myself.
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Thanks.  I'll work on the programming bit myself.

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As You can see with even your nice numbers for b's, there are min and Max functions in the above process .<br />
&nbsp;As you try to generalize , the number of edge cases will grow and you will have to have even more min and Max functions to handle those cases.
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As You can see with even your nice numbers for b's, there are min and Max functions in the above process .
 As you try to generalize , the number of edge cases will grow and you will have to have even more min and Max functions to handle those cases.

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<div class="content wysiwyg-content">
Suppose I have a sequence of N numbers a1,a2,...an.<br />
a1 is repeated b1 times<br />
a2 is repeated b2 times.<br />
<br />
I want to split the total sequence of N numbers into 2 separate sequences of N/2 numbers where the order does not matter.<br />
The user does not care if they an a1 or an a2 ...or an an.<br />
<br />
For example suppose the sequence is &nbsp; 111122223333 which has 12 characters.<br />
I can split it into several sequences of 6 characters &nbsp;for example<br />
<br />
112233<br />
122223<br />
123333<br />
<br />
<br />
What is the formula for determining how many combinations there are of 6 characters?
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Suppose I have a sequence of N numbers a1,a2,...an.
a1 is repeated b1 times
a2 is repeated b2 times.

I want to split the total sequence of N numbers into 2 separate sequences of N/2 numbers where the order does not matter.
The user does not care if they an a1 or an a2 ...or an an.

For example suppose the sequence is   111122223333 which has 12 characters.
I can split it into several sequences of 6 characters  for example

112233
122223
123333


What is the formula for determining how many combinations there are of 6 characters?

Splitting a Sequence and counting combinations

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