Working problem 4.28:A company establis hed identification pass codes to its employees to enter its researchlaboratories. 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 whichno 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, ordeoxyribonucleic acid. It is the fundamental building block for an individual's entire genetic makeup. DNAconsists of two long polymers of simple units called nucleotides, with backbones made of sugars andphosphate groups joined by ester bonds. These two strands run in opposite directions to each other andare therefore anti-parallel. Attached to each sugar is one of four types of molecules called bases. It is thesequence of these four bases along the backbone that encodes information. This information is readusing the genetic code, which specifies the sequence of the amino acids within proteins. The code is readby 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 beinvolved in pairing). The primary nucleobasęs are cytosine (C), guanine (G),adenine (A), and thymine (T), and uracil (U.They are usually simply calledbases in genetics. Because A, G, C, and T appear in the DNA, these moleculesare 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 basesmust be selected three times to form a linear triplet, how many different tripletsare possible? Note that all four bases can be selected for each of the three componentsof the triplet.

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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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4. Consider a lottery ticket with 60 numbers. To buy a ticket, you need to choose 5 of these numbers. Each lottery ticket costs $1. How big must the prize be to justify buying all possible tickets?
A Moving to the next question prevents changes to this answer. Question 2 How many way can a committee of five that can be formed from six T students and eight CS students if three are CS students are to be selected? O A. 840 O B. 1,440 O C. 10,080 O D. 2,520 A Moving to the next question prevents changes to this answer. 144 13 40 esc
Some companies who make those annoying phone calls to try to sell you something generate the phone numbers randomly. a. Given that seven-digit phone numbers NNN-NNNN can't have a 0 or a 1 as the fist digit, how many different numbers are possible (within one area code)? type your answer... possibile numbers b. One company is working your area code tonight, 10 people each making an average of 20 calls per hour. If it takes your family a half hour to each supper, what's the probability you get a call during mealtime? P(call during mealtime)- type your answer... 3 d $ f % V t 9 C311 6 b y h D 7 alt ctrl backs
3.118 U.S. ZIP codes. The nine-digit ZIP code has become an integral part of the U.S. postal system. a. How many different ZIP codes are available for use by the postal service? (Assume that any nine-digit number can be used as a ZIP code.) b. The first three digits of a Chicago ZIP code are 606. If no other city in the United States has these first three digits as part of its ZIP, how many different ZIP codes can exist in Chicago?
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