A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine).(a) How many DNA sequences are exactly 25 letters long?(b) Given a DNA sequence of length 25, how many single letter mutations are possible?(c) Given a DNA sequence of length 25, how many double letter mutations are possible?

Given Information:A DNA sequence is represented as a string of letters ACTG.

Answered: A DNA sequence can be represented as a…

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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A DNA sequence consists of a string of elements called nucleotides, in a defined order. Suppose the DNA sequence of a virus is 12 nucleotides long. If each nucleotide can be either a G, T, C, or A, how many different sequences are possible? Answer:
An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
A class has 32 students. In how many different ways can six students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the six students can form a group for an activity. (Type a whole number.)
How many different passwords are there that contain only digits and lower-case letters, subject to the restrictions that the password must be 6 characters long and contain at least one digit. Your answer can be a single number or a formula with numbers filled in.
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[A] A bakery sells 6 different kinds of pastry (and has at least 12 of each kind). (A.1) How many different selections of 12 pastries can be made? (A.2) How many different selections of 12 pastries can be made if at least one of each kind must be selected? (A.3) Suppose that raspberry swirl is one kind of pastry sold. How many selections of 12 pastries can be made if you must have exactly 5 raspberry swirl pastries? (A.4) How many different selections of 12 pastries can be made so that you have at most 2 raspberry swirl pastries?
How many different ways can the letters of "referred" be arranged? The number of different ways that the letters of "referred" can be arranged is (Simplify your answer.)
Thirty eager young Sportsball players have shown up for a friendly round robin. The volunteer coaches split them into six teams of equal size to play in how many ways can the teams be formed for Sportsball? A.56 30 B. (66666) +5! 30 c. (66666) X5! 51 30 OD. (555555) +61 30 OE-($55555)
5 different elves (Sue, Marcia, Cher, Jane, and Johnny) each make a different toy (ball, car, top, sled, or train). Each elf wears a different color (green, yellow, blue, red, or orange) and each builds a different number of toys. Use the poem below to decipher which elf wore what color and made how many of what toy!! ---------------------------------------------------- The Boss's pack held thirty toys Made by his elfin crew; And though none made the same amount, Each elf made more than two. The elf named Cher made one more toy Than the elf who dressed in reds, But Cher made one less holiday toy Than the elf who made the sleds. Spry Johnny elf made racing cars; Five toys were made by Jane. The elf who dressed in yellow suits Made each and every train. The elf who always dressed in green Made one-third as many as Sue. Cute Marcia elf was dressed in orange, And one elf dressed in blue. The elf who made the spinning tops Made the most toys of them all. Another perky, smiling elf Made each…
How many numbers have digits which are all ”1”s and ”2”s, and thedigits add up to 8? A few such numbers are 12212, 112121, and 112121. (HINT: breakthe list into cases and count each one. You can count them by hand, but you will savea lot of time if you apply the right formula.)
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