ACTIVITY Answer the following problems considering that repetition is allowed in each situation. Write your answer on the space provided before each number. The first number is one for you, 1. A young lady decided to choose 2 flavors from 5 of her favorite flavors of ice cream to be served on her 18th birthday. How many combinations are possible? 2. Laura visited a create-your-own pizza parlor, Find the number of different pizzas she can create using these toppings-pepperoni, anchovies, bacon, or ham if only 3 toppings are to be selected? 3. If 4 marbles are picked randomly from a jar containing 5 blue marbles and 6 yellow marbles, in how many possible ways can it happen that at least 3 of the marbles picked are yellow? 4. At Litoy's Pizza Parlor, there are 5 different toppings, where a customer can order any number of these toppings. How many possible toppings can you actually order your pizza? 5. A box contains 3 black balls, 2 white balls and one red ball. In how many ways can 4 ball be chosen?

Q: involving the science fair. For this problem, assume that 10 exhibits entered the science fair, and…

A:

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

A:

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: An artist has 11 paintings she wants to choose 4 paintings to hang side by side on a gallery wall…

A: Total no.of paintings=11

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

A: The number of ways to obtain the r object out of n object is given by the formula nCr=n!r!n-r!. The…

Q: Sunwoo’s closet has 18 different styles of jacket. In how many ways can Eric pick out 7 different…

A: Total number of Jackets = 18  Eric need to pick 7 different styles, this can be done in 18C7

Q: Victor albinism a Mason graduate owns the taco bamba restaurant.they offer 11 different varieties of…

A:

Q: Eight students are eligible to receive 3 different scholarships. The scholarships are in the amounts…

A: Number of student =8Number of scholarship=3

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle   multiply number of choices to find total no. of possibilities.   4 campgrounds…

Q: of cookies. To thank your math professor for doing such an amazing job all semester, you decide to…

A:

Q: Tara toured New York City with her family. They started their tour at 3:15 P.M. at the Empire State…

A:

Q: How many ways are there to arrange the letters in the word OHIO? Number

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Patty’s Dessert Platters lets you pick one type of cookie, one type of pastry and one candy treat…

A:

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A: Given: Jen would like to use the first week in may to visit one city and the first week in June to…

Q: Professor Tough's final examination has 22 true-false questions followed by 3 multiple-choice…

A: Given:    Final examination has 22 true-false questions followed by 3 multiple-choice questions.…

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: Instruction: Illustrate and determine the number of combinations. Choosing a variant for lunch with…

A: Since one out of vegetable dish from the available 3 dishes, i.e., pinakbet, mixed vegetable, and…

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A:

Q: How many ways can first and second ?place be awarded to 9 racers

A: The possible arrangement of n things is calculated for r times using permutation with replacement.…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: The school principal wants to know if students like the school mascot. She asks 120 students…

A: The principal wants to know whether students like the school mascot.

Q: The following people are on 4 different committees. What is the fewest number of meetings that need…

A: The following people are on 4 different committees. To find the fewest number of meetings that need…

Q: Engineering data analysis show solution From 4 red, 5 green, and 6 yellow apples, how many…

A: Combinations is the number of ways of selecting  objects from a total of  objects when order of…

Q: **** There are different ways to select two objects at a time. (Type a whole number.) Explain why…

A: It is given that  Total objects = 8   Note: Combination formula: C(n,r) = nCr = n!/(n-r)!r!

Q: The letters in the word APPLE are arranged in a row. How many unique arrangements are there of the…

A: We have given that Word "APPLE"

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

A:

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

A: please see the attachments below

Q: The Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills,…

A: Moore family recieved 31 pieces of mail mail consists of letters (L), bills (B) , Magazines (M) and…

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.