ow many total ways can we form a 3-number password or a 5-number password using the numbers for the set {1, 2, 3, 4, 5} such that the first two digits have to be an odd number.

Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: Find 1!, 2!, 4!, and 6!.

A: Factorial:

Q: How many ways can you make a 5 digit password that can be any number (including zero) or letter…

A: The objective of this question is to find out the total number of possible combinations for a…

Q: How many combination of 4 objects can be made from 6 objects, four of which are unique and 2 are…

A: It is given that  Total objects = 6 Unique objects = 4 Identical objects = 2

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

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: A telephone number consists of 10 digits: 3 digit area code followed by 7 digit number. How many…

A: For area code , possible first digits are 1 to 9 and for the other number ,remaining digits are 0-9…

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 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: How may elements are in the set [-2, 2] \N?

A:

Q: Find the available number of passwords when using a 4 letter password with possible usage of…

A:

Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: You are selecting a 7 character password using 4 letters and 3 numbers ( from 0-9 ), without…

A: The following solution is given below :

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: How many different 2 letter passwords can be formed from the letters A, B, C, D, E, and F if no…

A:

Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

Q: How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, G and H if…

A:

Q: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

Q: Suppose you are going to make a password that consists of 5 characters chosen from…

A: The given number of characters is n = 9, characters are: {2,3,6,7,a,c,k,n,p} In order to choose k…

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 elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: Consider the provided question, (a) There are 5 printers A, B, C, D and E. Each printer can print…

Q: How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is…

A: Let b1,b2, and b3 are 3 boys Let p1,p2,p3 and p4 are four prizes. b1 can receive any of the 4…

Q: bank PIN is a string of four digits, each digit 0-9. How many choices are there for a PIN if the…

A: Given A bank PIN is a string of four digits, each digit 0-9. Odd numbers=1,3,5,7,9

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: people. How many co

A: Let's denote the number of tents of each type as follows: x: Number of 2-person tents y: Number 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.