Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many possible passcodes do you have to choose from if he has a 6-digit passcode? There are no restrictions

Q: Test the claim that a greater proportion of all young adults moved back in with their parents in…

A: Let p1 and p2 be the two population proportions in years 2012 and 2000 respectively.Given…

Q: The local​ seven-digit telephone numbers in city A have 157 as the first three digits. How many…

A: The objective of the question is to find out the total number of different seven-digit telephone…

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

A:

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: According to the permutation rule, if r distinct items are to be chosen from n items without…

Q: iPhones have a 6-digit PIN number, how many different PIN numbers are possible?

A: Choices of filling 6 places are 10 I.e.. 0,1,2,3,4,5,6,7,8,9

Q: The local​ seven-digit telephone numbers in city A have 334 as the first three digits. How many…

A:

Q: In the past, a college required students to use a 4 digit PIN (Personal Identification Number) as…

A:

Q: 84 was a bad guess. However, 4 times that number increased by 542 was the correct number. What was…

A: Given number= 84 Also given, 4x+542 is the required answer

Q: Outside a home, there is an 8-key keypad numbered 1 through 8. The correct five-digit code will open…

A: There are totally 8-key keypad numbers. The correct five-digit code will open the garage door. The…

Q: Joanna was driving from Fresno to Bakersfield. Because it was a business meeting, she would be…

A: Let the distance from Fresno to Bakersfield = x miles When she left Fresno, she noted that her…

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: The access code to a house's security system consists of seven digits. How many different codes are…

A: Given that the access code to a house's security system consists of seven digits.

Q: Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the…

A: Given Outside a home , there is a Keypads with letter= A,B,C,D Number of codes=4

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a…

A:

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: In a batch of 500 high school students, there are 252 students who own a laptop, 176 students who…

A: Here we can use the formula nU = nA+nB-nA∩B+nA∪B'

Q: access code for your home security system consists of five digits. Each digit can be any number from…

A:

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: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

A:

Q: Some automobiles have 4 button locks. To gain entry, push each of the four buttons, in a particular…

A:

Q: A seven chats he insurance account number must be five letters of the alphabet followed by a…

A:

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

Q: In the Americas, automobile license plates contain two letters, followed by four digits. How many…

A: Given,no.of letters=26no.of digits(0 to 9)=10

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different…

A: The objective of this question is to find out the total number of different 4-digit passcodes that…

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Q: A realtor uses a lock to store the keys to a house that is for sale. The access code for the lock…

A: In this case, the number of ways to fill 1st digit is 9 except the digit 5.

Q: Decide the number of possibilities of the given situation: Devin pressed 3 different numerical…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! There…

Q: A realtor uses a lock box to store the keys to a house. The access code for the lock box consists of…

A: A permutation is the arrangement of elements. For example, three persons viz. A, B and C can be…

Q: Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number…

A: Solution is given below:

Q: Your new license plate was made just recently with the following format: 3 non-repeating letters…

A: Given ,        format of license plate-           3 non-repeating letters followed by           4…

Q: How many license plate containing two letter followed by three digit can be formed 2 If the letters…

A: License plate made up of 5 alphanumeric in which first two position taken by letters then last three…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.