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Working problem 4.28: A company established identification pass codes to its employees to enter its research laboratories. Each consist of three digits followed by three letters. a. How many different pass codes are possible? b. How many possibilities are there for pass codes in which no letter or digit is repeated?

Working problem 4.28: A company established identification pass codes to its employees to enter its research laboratories. Each consist of three digits followed by three letters. a. How many different pass codes are possible? b. How many possibilities are there for pass codes in which no letter or digit is repeated?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Working problem 4.28: A company establis hed identification pass codes to its employees to enter its research laboratories. Each consist of three digits followed by three letters. a. How many different pass codes are possible? b. How many possibilities are there for pass codes in which no letter or digit is repeated? Working problem 4.29: One of the most commonly used terms in criminal investigations is the so-called "DNA" DNA, or deoxyribonucleic acid. It is the fundamental building block for an individual's entire genetic makeup. DNA consists of two long polymers of simple units called nucleotides, with backbones made of sugars and phosphate groups joined by ester bonds. These two strands run in opposite directions to each other and are therefore anti-parallel. Attached to each sugar is one of four types of molecules called bases. It is the sequence of these four bases along the backbone that encodes information. This information is read using the genetic code, which specifies the sequence of the amino acids within proteins. The code is read by copying stretches of DNA into the related nucleic acid RNA, in a process called transcription. Nucleobases (or nucleotide bases/nitrogenaus bases) are the parts of DNA and RNA that may be involved in pairing). The primary nucleobasęs are cytosine (C), guanine (G), adenine (A), and thymine (T), and uracil (U.They are usually simply called bases in genetics. Because A, G, C, and T appear in the DNA, these molecules are called DNA-bases; A, G, C, and U are called RNA-bases. For this example, let us consider the DNA bases, A, G, C, and T. Suppose one of these four bases must be selected three times to form a linear triplet, how many different triplets are possible? Note that all four bases can be selected for each of the three components of the triplet.
Transcribed Image Text:Working problem 4.28: A company establis hed identification pass codes to its employees to enter its research laboratories. Each consist of three digits followed by three letters. a. How many different pass codes are possible? b. How many possibilities are there for pass codes in which no letter or digit is repeated? Working problem 4.29: One of the most commonly used terms in criminal investigations is the so-called "DNA" DNA, or deoxyribonucleic acid. It is the fundamental building block for an individual's entire genetic makeup. DNA consists of two long polymers of simple units called nucleotides, with backbones made of sugars and phosphate groups joined by ester bonds. These two strands run in opposite directions to each other and are therefore anti-parallel. Attached to each sugar is one of four types of molecules called bases. It is the sequence of these four bases along the backbone that encodes information. This information is read using the genetic code, which specifies the sequence of the amino acids within proteins. The code is read by copying stretches of DNA into the related nucleic acid RNA, in a process called transcription. Nucleobases (or nucleotide bases/nitrogenaus bases) are the parts of DNA and RNA that may be involved in pairing). The primary nucleobasęs are cytosine (C), guanine (G), adenine (A), and thymine (T), and uracil (U.They are usually simply called bases in genetics. Because A, G, C, and T appear in the DNA, these molecules are called DNA-bases; A, G, C, and U are called RNA-bases. For this example, let us consider the DNA bases, A, G, C, and T. Suppose one of these four bases must be selected three times to form a linear triplet, how many different triplets are possible? Note that all four bases can be selected for each of the three components of the triplet.
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