How many strings are there of length 26 which contain alll 26 letters of the alphabet and have all 5 vowels together and alll 21 consonants together? 2 x 51 x 211 x 51 x 221 51 x 211 51 x 221

Q: Find all possible digits that can be placed in the space so that the numbers is 1,182,1_4

A: Apply the rule for a number divisible by 9.

Q: How many four-letter passwords can you form with the letters a,b,c,d,e,f,g,h,i,j?  a. 10^4 =…

A: It is an important part of statistics. It is widely used.

Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: A number N is divisible by 4 iff the number formed by the last 2 digits of N is divisible by 4. For…

A: We can find number divisible by 4  by using the concept given in the question

Q: To enter their home the rouse family enters a 6 character code consisting of 4 letters (uppercase of…

A: We have to find 6 character code consisting of 4 letters (uppercase of lowercase) and 2 digits if…

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

A:

Q: How many different passwords exist that consist of 12 characte using uppercase and lowercase…

A:

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: How many different 3 letter codes can I make that do not contain any repeated letters

A:

Q: Suppose that a password is exactly six characters and each character is 1 of the 26 lowercase…

A: The number of lowercase letters is 26 and the number of integers is 10.

Q: find all possible three-digit numbers that are of the form 75_ and are divisible by both 3 and 2

A: Since the number is divisible by 2 and 3, it must be divisible by 6.

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 strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: The given alphabets are {a, b, c}. So, the number of characters is 3. The length of the string is 5.

Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

Q: How many 4-letter strings of upper- and/or lowercase letters are there that contain at least two…

A: To determine the number of 4-letter strings of upper and /or  lowercase letters are there that…

Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

A:

Q: Total ways to create a four digit passcodes of digits can be repeated

A: To find: The number of ways to create a four digit passcodes of digits. Calculation: The total…

Q: A computer password is required to be 5 characters long. How many passwords are possible if the…

A: Given dataa computer password is required to be 5 cgaracters longThe password requires 2 letters…

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: A two-column proof contains steps. What is the minimum number of reasons that the proof should have?

A: We have to find the minimum no of reasons.

Q: A certain website wants you to build a 6-character password from the letters a through i, the…

A: Given: The letters will be selected from a through i. Thus, there are a total of 9 letters from a…

Q: Determine the number of letter strings that can be formed from the letters in the word UPPSALA if…

A:

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: How many three digit passcode can be made from the digits 0-9in the first number is not allowed to…

A:

Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

A: Number of possible arrangement can be calculated either by combination or permutation methods.…

Q: How many real four digit numbers (they can not start with zero) can be formed from digits 0, 1, 2,…

A: Given digits is 0,1,2,3,4,5,6Total no.of digits = 7