How many 12-bit strings contain exactly five 1's?   (b) How many 12-bit strings contain at least nine 1's?   (c) How many 12-bit strings contain at least one 1?   (d) How many 12-bit strings contain at most one 1?

Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: how many length twenty strings of a's, b's, and c's have ten a's, six b's, and four c's

A: 20!10!×6!×4! in which 20 is used for total string length.  10 for a's and   6 for b's , 4 for c's

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

A: The total number of digits from 0 to 9 is 10.

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

A:

Q: A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For…

A: We have given that A four bit code word is any sequence of four digits where each digit is either 0…

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: the character

A: There are total 4 characters A,B,C,D and D is used exactly twice. Therefore , the combination for D…

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

A:

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: You are selecting a 7 character password using 4 letters and 3 numbers ( from 0-9 ), without…

A: The following solution is given below :

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

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: 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 letter strings containing only a's, b's, and c's have 6 a's and 4 b's?

A: Given: 15 letter strings containing only a's, b's and c's

Q: Determine 0!, 1!, 3!, and 4!.

A: Here, the values of 0!, 1!, 3! and 4! are required to be computed.

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: Determine 0!, 1!, 3!, and 4!.

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the…

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A:

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: How many whole numbers are there with exactly 5 digits that can be written using only the digits 8…

A: no. of whole number possible with exactly 5 digits from digits 8 and 9 = ?

Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…

A: The bag contains =6 marbles number of marbles drawn=4

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A: Given information: Total number of letters that can be used for password = 26 Total number of…

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 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: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: Many banks require customers who use the automated teller machine (ATM) to enter a four-digit…

A: ATM machine needs four digit password before transaction.  digits : {0,1,2,3,4,5,6,7,8,9} digits can…

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: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

A: