How many 8-digit binary strings end in 1 or have exactly four 1's?

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

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

A:

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: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: You need to create a four digit code. You can use the digit 035. The first is it cannot be zero. And…

A: We have to find given no. Of arrangement.

Q: How many three-digit odd integers can be formed using the digits 0, 1, 4, 5, 6, 7, and 9 only once?

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: How many 9-bit strings of weight 5 start with 101 or end with 10 or both?

A: We have to find the how many 9-bit strings of weight 5 start with 101 or end with 10 or both.

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: Given: Each character in a password is either a digit [0-9]  There are 10 digits as…

Q: in how many ways can the ten digits be written in a row if the even and odd digits have to alternate

A: Answer is 28800 Explanation is given below

Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…