DNA (deoxyribonucleic acid) is the basic building block of reproduction in living things. A DNA chain is a sequence of chemicals called bases. There are four possible bases: thymine (T), cytosine (C), adenine (A), and guanine (G).(a) How many four-element DNA chains are possible?DNA chains(b) How many n-element DNA chains are possible?DNA chains(c) A human DNA chain has p = 2.1 x 1010 elements. How many human DNA chains are possible? (Enter your answer in terms of p.)DNA chains

4 Possible bases: Thymine Cytosine Adenine Guanine

Answered: (a) How many four-element DNA chains…

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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You roll a die 8 times and tabulate the results, counting the total number of 1s, 2s, 3s, 4s, 5s, and 6s rolled. For example 1 2 3 4 5 6 0 3 1 0 2 2 5s and two 6s were rolled. the table indicates that three 2s, one 3, two (a) How many tables are possible? (b) How many possible tables contain zero zeroes? (c) Is the probability that the table contains zero zeroes given by your answer to part (b) divided by your answer to part (a)? Answer yes or no, and carefully justify you answer!
Match the word/phrase in the first column to its definition/description in the second column. a. a quadratic that doesn't factor C.VReduced Row-Echelon Form b. the sum of terms of a sequence Irreducible Quadratci C. Gauss-Jordan elimination Matrix Multiplication d. described as row by column multiplication Arithmetric Sequence e. b. Series results in a common difference between consecutive terms
A bacterial researcher is conducting an experiment by collecting three types (strains) of bacteria in a test dish. Each type of bacteria is coded for bacteria I, bacteria II, and bacteria III. In the test dish, these three types of bacteria were given three types of food, namely food A, food B, and food C. Every day 1600 units of food A,3000 units of food B, and 4500 units of food C were placed in the test dish and each type bacteria consume a number of food units as shown in the following table: Bacteria I Bacteria II Bacteria III Food A 1 1 2 Food B 1 2 3 Food C 1 3 5 (1) If we denote x1 for bacteria I, x2 for bacteria II, and x3 for bacteria III. Write a system of linear equations for each type of food. (2) Make a system of linear equations number (1) in the form of matrix and vector product Ax = b. (3) Calculate the determinant of matrix A using the row reduction method (4) Find x1, x2 , and x3, using Cramer's rule, so that the bacterial researcher knows how many…
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6 Heads of State are meeting in Washington DC. How many different linear seating arrangements are there for all of them on the stage? _________ How many different circular seating arrangements are there for all of them around a circular table? _______________
Example 25. A shelf contains 7 Kannada books, 4 Hindi books and 5 English books. In how many ways can they be arranged so that (a) The Hindi books are together. (b) Kannada books are together and Hindi books are together, (c) No two English books are together. (d) Books of the same language are together. CS Scanned with CamScanner
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If n(A) = 5, n(B) = 6, and n(C) = 9, what is the greatest and least number of elements in each of the following? (a) AU BUC (b) An Bnc (a) The greatest number of elements is A U BUC is The least number of elements in AUBUC is (b) The greatest number of elements in An Bn C is The least number of elements is An B n Cis
You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.
A company that builds homes advertises that, by choosing from its upgrade options, each of its new homes is available in 512 different variations. How many upgrade options does the company offer?
Your professor has 10 advanced statistics texts and 8 advanced calculus texts. (a) How many ways can the 10 statistics texts be arranged on the top shelf?(b) How many ways can the 8 calculus texts be arranged on the bottom shelf?(c) How many ways can the 18 texts be arranged together on a single shelf, with the statistics texts grouped together and the calculus texts grouped together?
A student works in a bookstore where he is required to work at least four and at most five days a week, at least one of which has to be a weekend day (Saturday or Sunday). How many different weekly work schedules can this student have?

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(a) How many four-element DNA chains are possible? DNA chains (b) How many n-element DNA chains are possible? DNA chains