How many bit strings (a string of 0s and 1s) of length 14 have: (a) Exactly two Os? (b) The same number of Os as 1s?

Q: At one point, license plates in a certain state consisted of 2 letters (excluding I, O, Q, and W),…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: How many 6-character license plates are possible if the first character must be a letter that is not…

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Q: computer password 8 characters long is to be created with 6 lower case letters (26 letters for each…

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Q: How many independent variables are there in a 10 x 2 x 6 x 2 factorial design?

A: Independent variables in 10×2×6×2.

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

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 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: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A: (a)It is given that a DNA sequence can be represented by a string of the letters ACTG,Now, the…

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…

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

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Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: The average length of a password is 8 characters. If you are allowed to use the 26 letters in the…

A: The average length of a password = 8No. of letters in the alphabets=26No. of digits from 0-9=10Total…

Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A: Given Information:A DNA sequence is represented as a string of letters ACTG.

Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

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: 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: A license plate has the form YYY-MATH, in which Y is a digit from 1-9, M has to be the number 5, A…

A: First we will find the number of choices for each then multiplying those choices will give us How…

Q: About how many bits would you need to represent it in binary

A: To determine the number of bits required to represent a positive integer N in binary representation

Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: How many hexadecimal numbers from 1 through FFFF do not have any repeated digits?

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

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

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 different ways a 4- digit code can be made if no digit can be used more than once

A: Four digit code are We need to form 4-digit code using  0,1,2,3,4,5,6,7,8,9 digits. The number of…