. A zip code contains 5 digits. How many different zip codes can be made with the digits 0–9 if no digit is used more than once and the first digit is not 0

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: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: You can answer any 19 questions from the 21 questions on an exam. In how many different ways can you…

A: Here it is given that the order is of no importance, we will use the combination rule here where we…

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: How many numbers greater than 3000 can be form with the digits 0,2,3,4 a.  if repetition is not…

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Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: A combination lock consists of a dial with 40 numbers on it. To open the lock, you turn the dial to…

A: Given,Combination lock consists of a dial with 40 numbers.We have to turn the dial to the right…

Q: supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: Given, a supermarket wants to send codes for $0.25 off abag at chips to its rewards program…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: To use an automated teller machine at a certain​ bank, you must enter a 3​-digit ​code, using the…

A: Given information:The number of possible 3-digit code has to be computed where repetition of digits…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

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Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: given data , a toy company is going to issue new ID codes to its employees. each code will have one…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: How many different 7-digit telephone numbers contain three 5s, two 2s and two 1s?

A: Our aim is to find the how many different 7-digit telephone numbers contain three 5s, two 2s and two…

Q: A variable name in the programming language Visual Basic must begin with a letter (uppercase or…

A: It is given that a variable in the programming language VB, should be of 5 characters and should…

Q: 3. Suppose we want to create a three-digit number. We are allowed to use the digits 0, 1, 3, 4, 6,…

A: We want to create a three digit number.   We are allowed to use the digits 0,1,3,4,6,7 and 9…

Q: The first three digits of a 10-digit phone number make up the area code for the number. How many…

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Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

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Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: An ATM pin consists of 6 digits. Each digit can be numbers 0-9. The PIN should not be a birthdate…

A: Given: Number of digits in ATM pin is, N=6. The possible numbers from 0 to 9 are, n=10. The first…

Q: 9:4=_:32

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Q: A supermarket send codes for $0.25 off a bag of chips to its rewards members. Each coupon code will…

A: Number of letters allowed = 24 Number of digits allowed = 7 Each coupon code will have one digit…

Q: access code for the entrance of a faculty office consists of five digits. Each digit can be 0…

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Q: A child psychologist prepares four-letter words to be used in a memory test. How many words can she…

A: To find the number of four-letter words that can be constructed using the given letters without…

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

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Q: Determine the last digit in number 7 8,

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Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: How many months, weeks, and days are there between May 4, 2014 and August 23, 2014?

A: given the date from May 4 2014 and August 23 2014 we need to calculate the number of months , weeks…

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: Four numbers are selected from the following list of numbers: -5, -4, -3, - 2, -1, 1, 2, 3, 4; in…

A: Given:  Numbers available : -5, -4, -3, - 2, -1, 1, 2, 3, 4   Aim:  To select 4 numbers out of the…

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: a) How many plates are possible when letters and numbers can repeat? Set up the expression that can…

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Q: The average age of the students in Class A is more than 11 years old. If ten out of the eleven…

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