Question

DNA molecules include the base units adenine, thymine, cytosine, and guanine
(A, T, C, and G). The sequence of base units along a strand of DNA encodes
genetic information. In how many different sequences can A, T, C, and G be
arranged along a short strand of DNA that has only 5 base units?

Answer 1

The number of ways different the sequences of adenine, thymine, cytosine and guanine can be arranged along a short strand of DNA with 5 base units is 120

What is permutation?

Permutation is the number of ways of arrangement for a given set.

The formula for a permutation is given as P(n, r) = n! / (n-r)!

Where n = items chosen from = 5

r is the number of items = 4

Substitute values into the formula

P(5, 4) = $\frac{5!}{5-4!}$

P(5,4) = $\frac{5 * 4* 3*2*1}{1}$

P(5,4) = $\frac{120}{1}$

P(5,4) = 120

Therefore, the number of ways different the sequences of adenine, thymine, cytosine and guanine can be arranged along a short strand of DNA with 5 base units is 120

Learn more about permutation here:

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