How many different bit strings of length 12... a. .contain at most eight 0's? b. ..contain exactly five 1's or end with a 1? c. ..contain six consecutive O's or six consecutive 1's?

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: 2) Each type of machine part made in a factory is stamped with a code of the form…

A: We can use :- 26 letters, 10 digits, 10 digits (as digits can be repeated)   Total number of…

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: How many permutations of the 26 letters in the English alphabet contain the string abc and end on…

A: We have to find the number of permutations.

Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

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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 ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Here,  total diplomats = 100 Number of continents= 5 Also, in continent 1, 2 ,3,4,5 there sholud be…

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 1. How many different bit strings of length seven are there?

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Q: How many 16-digit binary strings contain exactly seven 1's?

A: Here use total arrangement of string  concept for required number

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: 1) How many different strings of 5 lower case letters are there? Assume that letters may repeat. 2)…

A: Here, to calculate number of different strings of 5 lower case letters can be created if that…

Q: 14a-14d

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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: How many bit strings of length n, where n is a positive integer, start and end with 1s

A: First place 1 at the start and end of the n bit string. Then there are n-2 bit strings.

Q: How many different strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

Q: Consider a string of length 7 consisting of 0's, 1's and 2's. For example, 0121210 is such a string.…

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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…

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Q: Given a positive integer n, how many decimal strings of length n begin or end with an odd digit?…

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Q: How many 8-bit strings (that is, bit strings of length 8) are there which: a. Start with the…

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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…

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Q: (a) How many bit strings of length 9 either begin with 2 Os or end with 2 1s? (inclusive or) (b)…

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Q: PLEASE HELP, i really need to understand these questions before my finals. pleaseee?

A: The Pigeonhole Principle:  If there are n+1 objects and it is required to place then in n boxes then…

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

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Q: Twelve beads, no two of which are the same, are to br strung in a neckace with a clasp. In how many…

A: Number of beads n=12 We have to arrange this 12 different beads in a necklace.

Q: How many permutations of the letters ABCDEFGH contain the string CFA?

A: We need to find the number of permutations of the letters ABCDEFGH that contain the string CFA. We…

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: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

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?

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Q: How many integers between 100 and 999 have distinct digits, and how many of those are even numbers?

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Q: How many people must be selected to guarantee that at least 4 have a birthday in the same month?

A: This is an application of pigeon hole principle. According to pigeon hole principle, if there are n…

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 people are needed to guarantee that at least two were born on the same day of the week and…

A: There are 7 days in a week and 12 months in a year.

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: 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: (a) How many permutations of (10] are there that EITHER alternate even and odd numbers or have even…

A: Let consider the permutations of 10 as the ordering of  the elements of 10 rather than as an…

Q: How many permutations of the letters ABCDEFGH contain the string CDE?

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Q: е. In how many distinct ways a strings “aaaabbbcc" can be ordered? f. In how many different ways you…

A: As per the answering guideline, we shall solve first question only. Please repost by mentioning…

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: 1. How many 9-bit strings are there which: a. Start with sub-string 110. b. Either start with 110 or…

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

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Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

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: 7. In the set of all strings of eight uppercase letters (possibly repeated) from the English…

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

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