A biologist studying the genetic code is interested to know the num...

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A biologist studying the genetic code is interested to know the number of possible arrangements of 12 molecules in a chain. The chain contains 4 different molecules represented by the initials A (for Adenine), \( \mathrm{C} \) (for Cytosine), \( \mathrm{G} \) (for Guanine) and \( \mathrm{T} \) (for Thymine) and 3 molecules of each kind. How many different such arrangements are possible in all ?
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