1) You have a sample of 9 flowers from pea plants. (a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this. (b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get? (c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

Q: Example 4. In a survey of 2000 mobile it was found that 1700 users liked Nokia and 1500 users liked…

A: In question,  Given that in a survey of 2000 mobile it wa found that 1700 users liked Nokia and 1500…

Q: You have 8 friends from your high school and 6 friends from the high school across town. How many…

A:

Q: How many ways can you choose first, second, and third place winners from 15 people?

A: The first place winner can be chosen as 15 ways. The second place winner can be chosen as 14 ways…

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: Suppose a sack contains 18 candies. There are Grey and yellow candies in the sack packed for a…

A:

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

A:

Q: How many different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: A distributor receives a shipment of 60,000 porcelain figurines. The figurines are packed in 500…

A: It is essentially inferred that the sample mean (i.e., the mean number of damaged figurines in the…

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

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

Q: You have 6 different video games. How many different ways can you arrange the games side by side on…

A: Given,Total no.of video games=6

Q: In a clothing store, 70% customers buy mens clothes, 25% customers buy womens clothes, 15% do not…

A: Step 1:Step 2:Step 3:Step 4:

Q: Draw a vent Diagram representing this situation.

A: Given that Number of students who like soccer = 15 Number of students who like basketball = 10…

Q: At a pow-wow, 98 families came to participate in the ceremonies. A coordinator of the pow-wow took a…

A: Given survey:19 families brought food, costumes, and crafts;31 families brought food and crafts;53…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is…

A: 0.3% of 100000 population have virus.  0.3*100000/100= 300  people have virus.  88% have virus and…

Q: Andrew a sales representative of Data Network Company (DNC) must visit 6 towns within the coast…

A:

Q: NAME: Period: Team Seat #: 1-70. Imagine that you have a bag containing 10 marbles of different…

A:

Q: Maci is a social networking maniac! Although she prefers Instagram, she also spends a lot of time…

A: Introduction A variable is a no., characteristic which can be counted or measured.

Q: Suppose that in a survey of five-year-olds, 54% liked the letter A, 58% liked the letter B, and 49%…

A: Solution:robability of liking A  P(A)=0.54 Probability of liking B  P(B)=0.58 Probability of liking…

Q: #3) If your class has four tests and you get grades of: 72, 85, 79, 91 What is your test average?

A:

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. This race…

A: There are six non-USA runners, and we want to find the number of possible podium finishes that don't…

Q: A mathematics education researcher is studying problem solving in small groups. One phase of the…

A: If an event E can occur in m different ways and another event F associated with each way of…

Q: Makalya is playing a game using a wheel divided into eight equal sections, as shown in the diagram…

A:

Q: how many times can you put 8 people in groups of 4

A: Here use combination

Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

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.