Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b) Suppose the locks are constructed in such a way that no number may be used twice. How many choices are there for the first number in the combination?   How many choices are there for the second number in the combination?   How many choices are there for the third number in the combination?   How many different combinations are possible?

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 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: an iPhone locks with a 5-digit code. How many codes are possible, if repetition isnot allowed and…

A: Lock of 5 digit code , Repetition is not allowedFirst digit must be 9 Number of codes = ?

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: The accompanying table shows the numbers of male and female students in a certain region who…

A: I solved exactly first question because of bartleby policy if you want more please uplode separately

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

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: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

A:

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

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

A:

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

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

A:

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

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: A car manufacturer offers a certain make of a car with 3 exterior colors, 5 interior colors, and 5…

A:

Q: In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.