Question: How many DNA sequences are possible by rearranging the string `ACGTTGTGCA' ? What if now, the DNA sequences in the previous question must have every

How many DNA sequences are possible by rearranging the string `ACGTTGTGCA' ?

What if now, the DNA sequences in the previous question must have every `G' followed by a `T', but no `T' followed by a `G'? i.e., `GTAAGTCGTC' is valid but `CGTGTAAGTC' is not valid and neither is `GTATCGTACG'

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