Explanation Factorial: Factorial gives the product of an integer and all the integers below it. Factorial is denoted by a positive integer and an exclamation point. For any counting number n, the factorial of n is defined by n ! = n ( n − 1 ) ( n − 2 ) ⋅ ⋯ ⋅ 3 ⋅ 2 ⋅ 1 0 ! = 1 Example: The factorial of 4 is 4 ! = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24 Permutation: Permutation is the process of arranging the objects of a set in a definite order. If the set is already arranged, we can rearrange the objects using permutation. In permutation, repetition of object is allowed. It selects the objects regardless of the order. The permutation formula for the number of permutations possible for the choices r object from the set of n distinct object is n P r = n ! ( n − r ) ! Where, n- Number of distinct object in the set r- Number of choices Calculation: A nucleotide is a set with four elements. The elements of the set are {a, t, c, g}. Codon is the triplet of nucleotide. So we need to find the arrangement of three elements in a codon. To select the first element of the codon, select one element from the four elements of the nucleotide. Here n = 4 ; r = 1 The first element is obtained by 4 P 1 . The number of permutation is given by, n P r = n ! ( n − r ) !

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …

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Chapter 12.1, Problem 54PS

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Number of possible codons in a DNA.

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Chapter 12.1, Problem 53PS

Chapter 12.1, Problem 55PS

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Chapter 12 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 12.1 - IN YOUR OWN WORDS What is a permutation? What is...Ch. 12.1 - Prob. 2PS Ch. 12.1 - Prob. 3PS Ch. 12.1 - Prob. 4PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P2 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P4 Ch. 12.1 - Prob. 8PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 52P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 4P4

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Number of possible codons in a DNA.

Solution Summary: The author explains that the number of possible codons in a DNA is 64.

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Chapter 12 Solutions

To find:

Number of possible codons in a DNA.