How many strings of eight English letters are there: a) that contain no vowels, if letters can be repeated? b) that start with a vowel, if letters cannot be repeated? c) that contain at least one vowel, if letters can be repeated?

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: Consider a string consisting of a's, b's, and c's, where the number of b's is three times the number…

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Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

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Q: At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

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Q: How many distinct 5-letter strings can be created using the letters A, B, C, D, E if repetition is…

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Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

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Q: How many strings are there over the set {a, b, c} that have length 10 in which no two consecutive…

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Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

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Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first,…

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Q: In how many different way can the letter of the word 'VAKSIN' can be arranged so that the consonant…

A: The number of ways n distinct objects can be arranged is equal to . The value of is calculated…

Q: In the questions below suppose that a "word" is any string of seven letters of the alphabet, with…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 1. Consider arranging flags along the length of a flagpole. Rectangular flags come in six different…

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Q: how many different ways can the letters of the word wombat be arranged if the letters wo must remain…

A: Using Permutation and Combination we can solve for different ways

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

Q: This question concerns strings over the alphabet {a, b, c, d, e }. (a) How many strings have length…

A: a) Length of string=9 total letters (a,b,c,d,e) =5 selecting a four times and placing in 9 letter…

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

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Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

A: Factorial Rule: The total number of ways n different objects can be arranged where the order of the…

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

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Q: A student may answer any six of ten questions on an examination. (a) In how many ways can six…

A: Given:  A student may answer any six of ten questions on an examination.To find:a)The number of ways…

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: How many strings of Seven English letters are there A) That contains no vowels, if letters can be…

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Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Q: 11 Given E = {m, a , i,s,o, n}. 1 How many possible selections of 3 letters can be formed from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: (a) How many ways can the letters of the word ANCESTOR be arranged in a row? Since the letters in…

A: The given word is ANCESTOR.

Q: How many permutations of the letters ABCDEFGH contain the strings BA and FGH ?

A: We have to determine the number of permutations of the letters ABCDEFGH which contain the strings BA…

Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

Q: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

A: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

Q: Assume that a license plate must be of length 7.  How many different license plates are possible…

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Q: 2. Suppose that a password for a computer system must have at least 8, but no more than 12,…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: 1.) In the questions below suppose that a "word" is any string of seven letters of the alphabet,…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be…

A: Given the question that, How many strings of eight English letters are there- a) that…

Q: How many strings of five uppercase English letters are there (a) that start or end with the letters…

A: a) Given that starts and ends with letter BO i.e if started with BO then next 3 Letters can be…

Q: How many strings of six lowercase letters from the En- glish alphabet contain a) the letter a? b)…

A: Total alphabet in English =26 Total number of strings of six lowercase letters from the English…

Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: How many strings of five uppercase English letters are there (a) that start with an X, if letters…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: (a) How many ways can the letters of the word ANCESTOR be arranged in a row? Since the letters in…

A:

Q: How many six-number combinations can be generated from the numbers from 1 to 42 inclusive, without…

A: Given information: A 6 number combination is to be generated. The possible numbers are selected…

Q: How many length-4 lists can be made from the symbols A, B, C, D, E that contains at least one letter…

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Q: How many strings of six lowercase letters from the English alphabet contain a) the letter a? b)…

A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…

Q: By using seven points, no three of which are collinear, how many different lines are determined?…

A: Given in the question; There are seven points ,no three of which are collinear. To draw a line need…

Q: Consider strings of lowercase letters. How many strings are there of lowercase letters of length…

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Q: ) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…