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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

1-24 Counting These exercises involve counting.

Genetic Code The genetic code is based on the four nucleotides adenine (A), cytosine (C), guanine (G), and thymine (T). These are connected in long strings to form DNA molecules. For example, a sequence in the DNA may look like CAGTGGTACC .... The code uses "words," all the same length, that are composed of the nucleotides A, C, G, and T. It is known that at least 20 different words exist. What is the minimum word length necessary to generate 20 words?

To determine

To find:

The minimum word length necessary to generate 20 words.

Explanation

Given:

The genetic code is based on the four nucleotides adenine (A), cytosine (C), guanine (G), and thymine (T). These are connected in long strings to form DNA molecules.

There are at least 20 different words exist.

Approach:

Fundamental counting principle:

If E1, E2 …. Ek are events that occur in order and if event Ei can occur in ni ways (i=1,2......,k). Then the sequence of events can occur in order in n1×n2×......×nk ways

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Chapter 14 Solutions

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