How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits the same?

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: sequence

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Q: low many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if…

A: To find the number of different sequences of 4 digits following the given conditions, we can…

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits being…

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Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: 5. A bit string is a sequence of numbers consisting of 0’s and 1’s. Answer the following questions…

A: (a) To fill each of the 5 places of a bit string of length 5, we have two choices (0/1).  So number…

Q: 2 letter sequences can be formed from the 8 letters in theword “sequence”?

A: Given, A letter = [ s,e,q,u,e,n,c,e] Number of letters = 8 By using  permutation and combination,…

Q: how many sequences of 2n letters can be formed using n distinct symbols if each symbol is used…

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Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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Q: Phone numbers are a sequence of 10 digits. How many phone numbers are there such that the sum of any…

A: As per the question, we are given a set of conditions for phone numbers and asked to determine the…

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: Enter the number to complete the linear combination. gcd(69, 30) yields sequence: 69 30 9 30 9692-30…

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Q: Among all the numbers between 40000 and 90000, including the numbers 40000 and 90000, how many each…

A: The total number of numbers between 40,000 and 90,000 is 90,000-40,000+1=50,001. First calculate the…

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

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Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: what is the sequence of positive whole numbers

A: To find the sequence of positive while number.

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: How many pairs of ordered numbers exist such that sum , product and quotient are the same?

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Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: How many ways are there to construct a string of 4 digits if numbers cannot be repeated? Asume each…

A: The objective of this question is to find out the number of ways to construct a string of 4 digits…

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues…

A: The general form of an Arithmetic Progression(AP) is a, a + d, a + 2d, a + 3d where 'a' is the first…

Q: Please show full work, How many ternary ( 0,1,2) sequences of length 10 are there without any pair…

A: We see, we can start the desired ternary sequences with any of the 3 digits (0, 1 or 2).    Now, for…

Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!>3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: How many ways are there to construct a string of 4 digits if numbers cannot be repeated? Asume each…

A: The objective of this question is to find out the number of ways to construct a string of 4 digits…

Q: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

A: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We see, we can start the desired ternary sequences with any of the 3 digits (0, 1 or 2).    Now, for…

Q: How many 9 digit sequences have the digits 1,3 and 7 appearing at least once

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Q: (8) Suppose a license plate contains two letters followed by three digits with the first digit not…

A: We can find how many different licence plates can be printed (Repetition is allowed).