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A biologist studying the genetic code is...

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 a Adenine), C (for Cytosine), G (for Guanine) and T (for Thymine) and 3 molecules of each kind. How many different such arrangements are possible?

Text Solution

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The number of different arrangements
`= (12!)/(3!3!3!3!)`
`=(12xx11xx10xx9xx8xx7xx6xx5xx4xx3!)/(3xx2xx3xx2xx3xx2xx3!)`
`= 369600`
Hence, the number of different possible arrangements are = `369600`
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