Given an integer n ≥ 1, how many strings of n English consonants (21 letters) begin and end with the same consonant? O 21"-1 21¹-2 21" - (21)21¹-1 O 21-1 21¹-2 None of these.

Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the…

A: Ans#- In how many different ways can the letters of the word ' MATHEMATICS' be arranged…

Q: Supposed repetitions are not allowed. Find the number n of three-digit even numbers that can be…

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Q: Find 12¹ (mod 17) the inverse of 12 modulo 17

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Q: Z, N, X, X, R, V, N, X, E, H ten-letter words (real or imaginary) can be fo

A: The given data is Z,N,X,X,R,V,N,X,E,H

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: How many different three digit numbers can be made from the set of integers {1,2,3,4,5,6,7,8,9} if…

A: The set of integers {1,2,3,4,5,6,7,8,9}

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: In how many ways can the numbers from 7 to 10 be arranged three at a time if the numbers can repeat?

A: If we have n numbers and we want to arrange k of them where the numbers can repeat, then the total…

Q: How many 5 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if no repetition is…

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Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How…

A: The 3-digit numbers that can be formed from the digits 2, 3, 4, 6, 7 without repetitions are: 234,…

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be…

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Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? G,…

A: There are 10 letters; G, P, W, R, K, V, P, A, F, P

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: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: A user’s password to access a computer system consists of three digits and two letters.…

A: A permutation of a set is an arrangement of its members into a sequence or if the set is already…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

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Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: 4.) Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: How many 4 letter words can be created using the letters in the word COMPLICATED?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can…

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Q: For some particular website, the password must start with one of the letters a b or c. Then there…

A: Introduction: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0…

Q: how many 3-digit number we can form using 10 digits (0,1,2,3.......,8) if no repetition is allowed

A: The first digit have 9 choices (digits 1 -9) as zero cannot be the first digit.There will be 9…

Q: How many integers between 10000 and 1000000 have no digits other than 5, 7 or 9. How many have no…

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Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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