This question concerns strings over the alphabet {a, b, c, d, e }. (a) How many strings have length 9 and exactly four a's? (b) How many strings have length 9 and exactly four a's and exactly two b's?

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A: When there are nth places and m elements. With repetition, the choice of 1st place will be m, the…

Q: How many binary strings of length 10 are there in which the number of O's in the string is not equal…

A: Solution :-

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

A:

Q: A palindrome is a string whose reversal is identical to the string. How many bit strings of length n…

A: please see the next step for solution

Q: How many 8-bit strings of weight 5 start with 101 or end with 10 or both?

A: If the 8-bits strings has a weight of 5, then From the 8 places to have digits, there are 5 places…

Q: How many 13-bit strings contain exactly six 1's?   (b) How many 13-bit strings contain at least…

A: a) If exactly 6 are 1's then (13-6)=7 will be 0's. When positions of 1's are fixed, then the…

Q: How many different binary strings of length 8 are there? How many different binary strings of length…

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: How many lists of length 5 can be made from the letters A, B, C, D, E, F that starts and ends in a…

A:

Q: How many 12-bit strings contain exactly five 1's?   (b) How many 12-bit strings contain at least…

A: a) We can pick 5 positions for 1's from 12 positions in 12C5= 792 ways  Answer(a): 792

Q: How many 8-bits strings have exactly three 1's?

A: Given that  8 bits strings have exactly three 1 s is

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: 14a-14d

A:

Q: This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e., 8-digit numbers…

A:

Q: Consider a list of randomly generated 2-letter "words" printed on a paper. The letters cannot be…

A: Total number of different 2 letter word without repeated words is 26×25=650.(a)At least how many of…

Q: How many 10-bit strings are there if the string must have exactly one 1 in the first half and…

A: The string must contain exactly one 1 in the first half and exactly one 1 in the second half. So…

Q: How many 15-bit strings contain exactly seven 1's?

A: Out of 15 strings one must pick 7 of them to contain 1’s and other 8 will contain 0’s.

Q: 2. How many bit strings(strings of 1 or 0) of length 8 are there such that it contains no more nan 3…

A:

Q: How many strings of seven lower case letters of the English alphabet contain exactly four letters w…

A: We have to use permutations and combinations here.

Q: How many different bit strings of length eight are there?

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Q: d) How many 7 bit strings have exactly three l's?

A:

Q: How many different strings of size 2 can be made using all the letters in the word GOOGOL?

A: Given word = GOOGOL. Number of different letters present in the given word = G,O,L  According to the…

Q: Determine the number of strings of length 10 from the alphabet {A, B, C} that contain exactly 3 A's…

A:

Q: For this question, no explanation is required. How many strings of six uppercase English letters (A…

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Q: A computer stores information as 16 digit binary strings (a sequence of 16 1's or O's). How many…

A: We are given that computer stores the information in 16 bits strings

Q: 7. How many 10 bit strings have an equal number of 0's and 1's? How many have 8 (and only 8)…

A:

Q: How many bit strings are there of length six or seven

A: The number of bit strings of length six is given by 26 The number of bit strings of length seven is…

Q: 5. How many bit strings of length 10 over the alphabet {a, b, c} have either exactly three as or…

A:

Q: How many bit strings of length 10 have... a) Exactly four 0s? b) At least five 1s? c) Either two…

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…

Q: How many bitstrings are there of length 2n that contain exactly n “O"s and n “1"s? Prove your result

A: Given that,   The length of bitstring =2n, i.e If we have a bitstring, it should only contain 0's…

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit…

A:

Q: 7. Suppose you have 15 CDs from which you choose 6 CDs to put in the CD player in your car. If you…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

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: How many ways of strings of length 10 can we build from an alphabet of 30 characters?

A: We need to find, in how many ways, a strings of length 10 can be build from an 30 alphabet…

Q: stion 20 How many strings of length 12 over the alphabet {a, b, c, d} start with "aa" or end with…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: A. The number of permutations of length n that avoid 132 and have the additional property that their…

A: Based on the additional property, the first entry is larger than the second entry is Cn-1, (the…

Q: How many strings of ten English letters are there that start with AB and end with Y Z and contain at…

A:

Q: How many binary strings of length 10 are there in which the number of 0's in the string is not equal…

A: We have to find the numbers of binary strings of length 10 are there in which the number of 0's in…

Q: A string that contains only Os, 1s, and 2s is called a ternary string. How many ternary strings of…

A: Multiplication Principle:Suppose that we perform r experiments such that the kth experiment has nk…

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: Don't copy from google or other sites  How many bit strings of length 11 contain either five…

A: Given, the strings of length 11 contain either five consecutive 0s or five consecutive 1s.

Q: How many strings are there of length 6 over the alphabet {a, b, c, A, B} in which exactly two of the…

A: we have the alphabet a,b,c,A,B Now, we are interested in string of length 6. Since two of the…

Q: (c) How many binary strings of length 5 have at least 2 adjacent bits that are the same (“00" or…

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Q: . Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowels always…

A: We can solve these questions using given details

Q: For this question, no explanation is required. How many strings of ix uppercase English letters (A…

A:

Q: How many permutations of all the letters in the English alphabet contain the string abc and the…

A: There are 26 letters in the English alphabet

Q: How many strings of four different hexadecimal digits are there?

A:

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: 1. How many bit strings(strings of 1 or 0) of length 10 are there such that it contains exactly 5…

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

Q: How many bit strings of length greater than equal to one and less than or equal to six are there?

A: There are 2 possible bits : 0 and 1 Bit strings of length 6 are, 2.2.2.2.2.2=26=64 Bit strings of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.