Combination Rack

Combination Rack
How many different combination you can have 14 sets of 2 digits? – Mathematics?

I've been racking my brain with this. If you has 14 groups of digits 1 and 2, how many different combination you can have. The digits can be in any order, but each set must contain 1 and 0. There can be 11 or 00. It can only be 10 or 01 for example: 10 01 01 01 01 01 01 01 01 01 01 01 01 01 So, how many different combinations, and what combinations be? Perhaps excel does something like this? Your help is appreciated:) Correction – In the beginning it says "1 & 2" should be "1 and 0"

For convenience, we refer to "01" as "a" and "10" and "b". So is the number of long sequences 14 A and B. There are two options for each position, and positions 14. So the answer is 2 ^ 14 = 16384.

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