Finally, let us talk about 6 digit PIN numbers. (All entries are 0-9). a) In how many ways can we make a PIN number to ensure we repeat at least one digit? b) Compute the number of PIN numbers which contain exactly 3 zeros.

Q: When the sample is small but the population is normally distributed and standard deviation is known,…

A: Answer - When the sample is small but the population is normally distributed and standard deviation…

Q: how many four digit numbers can be formed if all the digits are odd numbers and each digit can be…

A: Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, here 4 digit numbers are formed in which all…

Q: A four-digit house number contains no zeros. The number has exactly three distinct digits. How many…

A: It is given that a four digit house number has no digits. The number has exactly 3 distinct digits.…

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: Given data: The total numbers are n=7. Case-1 The total 3 digits numbers that can be formed from the…

Q: In order to create a PIN to access your tablet, you have to choose six digits (where your choices…

A:

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

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: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: How many four digits numbers can be made using 1, 2, 3, 4 and 0? Caution: your numbers cannot start…

A: 9

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: how many passwords are there if you do not allow repeating digits? b.) How many passwords are there…

A: Since , the passwords are made by using 4 digits from 1-9. Total numbers=9 Password length=4 Our aim…

Q: You are a member of the BCC Math Club. The club has 15 members. a) How many different ways are there…

A: a)given,           club has 15 members here n=15(total numbers)           we need to select the…

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

A:

Q: You need to create a four digit code. You can use the digits 0 through 5. The first digit cannot be…

A:

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

A:

Q: c) List vertically all the ways each number 0-35 can be represented as a sum of two or more…

A: Assume that limiting the numbers to integers. Let's try a few and see if we can find a pattern:…

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

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: How many ways can you write a 5 digit number such that some of the digits repeat? (Note: 010 is a 2…

A: Given query is to find the ways to write 5 digit number.

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: Assume that we have numbers from 0 to 9 in a small box (0,1,2,3,4,5,6,7,8,9); there is only one from…

A: Solution:-To determine the number of 5-digit numbers that can be generated respecting the given…

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

A:

Q: How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

A:

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: 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: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

Q: Ann remembers the last four digits of a seven-digit telephone number but knows only that each of the…

A: Given that Ann remembers only last four digit of a seven digit telephone numbers and first three…

Q: d 3?

A: for a 4 digit even number

Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

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

A:

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: Ahmed must choose a seven-digit PIN number and each digit can be chosen from 0 to 9. How many…

A: We have to find no. of possible pins.