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March 18th, 2009, 01:51 AM   #1
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Combinatorial Question Help?

a "codeword" from the alphabet A={0,1,2,3) is said to be legitimate if it contains even number of zeros. Thus for instance the codeword 31020 is legitimated and 0002 is not. How many n - letter codewords are legitimated ?
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March 18th, 2009, 09:03 AM   #2
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Re: Combinatorial Question Help?

Set up a double summation that goes through each length up to n and each even number from 0 to the current length, summing the number of ways to choose the appropriate combination. You can use algebra to simplify this, if desired.
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