Solve the problem using combination formula. 1. In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors? 2. A box contains 5 red balls, 7 green balls and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color?

Q: Solve the following problem on combination. Show your complete solution. How many different ways can…

A: To solve the given problem with the help of combination :-

Q: There are four boys and four girls at a party. In how many ways can they be seated in a row if they…

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Q: 1. Larry had 1/3 as many balls as Andy. Andy gave 8 balls to Larry so that they would each have the…

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Q: Patty is asked to order snack for an office meeting of 180 people. She decides to order dessert…

A: If there are 180 people and each person would need 2.5 squares. Then the total squares needed =…

Q: Ms. Parker baked 6 dozen cookies. She gave 2 1/2 2 1/2 dozen cookies to her sister, 1 3/4 1 3/4…

A: Given: Ms. Parker 6 dozen cookies. She gave 212 dozen cookies to her sister and 134 dozen cookies to…

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: Scott has a bag of candies. 2/5 of the candies are red. 3/10 of the candies are green. If there are…

A: Given , In a bag Total Red Candies=12 2/5 of candies are red. And 3/10 of candies are green. We have…

Q: A dessert recipe calls for 6 cups of cereal for every 4 cups of marshmallows. If a baker makes a…

A: Here for every 6 cups of cereals 4 cups of marshmallow is needed. So, for every 3 cups of cereals 2…

Q: Jessica wants to make a garland out of eight roses 12 daisies and 48 marigolds how many arrangements…

A: Given: Number of roses=8, Number of daisies=12 and number of marigolds=48.

Q: Emma has 12 pears and buy 19 more but gives her mom 7 how many does she have left

A:

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: a) 2 white balls b) 2…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   6 red balls  4…

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

Q: 3. Answer the following: (i) In how many ways can 3 boys and 2 girls sit in a row? (ii) In how many…

A: Here will use the concept of permutations and arrangment Given that  Number of boys = 3 Number of…

Q: 3. Sophia has a bowl of 15 red, 15 blue, and 15 orange pieces of candy. Without looking, Sophia…

A: (a) Sophia has to grab (3+3+3)+1 = 10 candies to make sure she has at least 4 of the same colour.…

Q: An ice cream shop offers 5 different flavors. It also offers a choice of 3 different cones, and a…

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Q: Eight friends are to make a trip in 2 cars, with 4 people in each car. In how many ways can this be…

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Q: b. 90,720 d. 386,434 5. In how many ways can the letters of the word "PROBLEMI be rearranged to make…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 7. Adrian arranges 12 flowers. He puts the same number of flowers in each vase and can use up to 6…

A: We will solve the problem

Q: Solve the problem using combination formula. 1. A box contains 5 red balls, 7 green balls and 6…

A: Given- A box contains 5 red balls, 7 green balls and 6 yellow balls. To Find- The number of ways in…

Q: B. Illustrate the Combination of an object, by listing all the possibilities. 1. Choosing 2 books…

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Q: Mrs. Graham has 22 children in her third grade class. On Field Day 2 students are absent. Mrs.…

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Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

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Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? a.) 210…

A: Given, There is 7 consonants and 4 vowels.

Q: 1. A math teacher found that takes exactly 47 chocolate chips to make a student goofy. The average…

A: Solved below

Q: A theater has 36 rows with 26 seats in the first row, 30 in the second row, 34 in the third row, and…

A: We can find the answer as below.

Q: Determine whether the given problem/situation isn a combination or not. Write C if it is a…

A: here use definition of combination  combination is used for counting in which object's order does…

Q: (a) A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A: We have to select 5 mini-box colors  from the collection of 70 colors. Since, we know that selection…

Q: a bag contains 6 red balls and 4 white balls. In how many ways can one draw: a. 2 white balls b. 2…

A:

Q: Show your solutions) In how many ways can 6 books be arranged on a shelf if:   a.) any arrangement…

A: The total number of ways of arranging 6 books in 6 places is given by: n=P66n=6!n=720

Q: On the first month of gardening, Laurice has only two plants in her backyard. After 3 months, there…

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Q: The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: Decide whether the exercise involves permutations or​ combinations, and then solve the problem.   In…

A: (a) Given: It is given that, A club has 11 male and 10 female members.  To find: How many committees…

Q: How many forty-passenger buses are needed if 155 students and five (5) teachers will be going on a…

A: Step 1: understand the problem we need to find the number of buses . Step 2: Devise a plan number of…

Q: A homeowner doing some remodeling requires the services of both a plumbing contractor and an…

A: The number of plumbing contractors is 15 and the number of electrical contractors available in the…

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain how…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: An ice cream shop offers 4 different flavors. It also offers a choice of 3 different cones, and a…

A:

Q: 5. The school has case of 144 donut holes and a case of 24 milks. If these are divided evenly among…

A: 5) As there are 144 donut holes and a case of 24 milks , we need to distribute evenly among the…

Q: 5- The number of combinations of 5 elements that can be selected from 10 elements, is a) 250 b) 251…

A: We have given that  n=10 , k=5 Note:According to Bartleby Expert guidelines, we can answer only…

Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

Q: A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be…

A: .

Q: Solve the following problem on combination. Show your complete solution. How many different sets of…

A: We need to find how many different sets of 5 cards each can be formed from a standard deck of 52…

Q: Answer each combination problem completely. 1. In how many ways can a coach choose three swimmers…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In an election for class president, 1200 votes are tallied for 3 Candidates: Ying Ying, Andrew,…

A: Please refer the attached image for complete solution.

Q: A disc jockey (DJ) has 11 songs to play. Five are slow songs, and 6 are fast songs. Each song is to…

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Q: Decide whether the exercise involves permutations or combinations, and then solve the problem. In a…

A: Given information- We have given that a club has 8 male and 16 female members. A 5-member committee…

Q: Three identical blue bulbs, 4 identical red bulbs and 5 identical green bulbs are to be arranged on…

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Q: f 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: In the first part who gets what meal is not specified, there are 9 people, therefore 9 people can…

Q: and 4 batches of The cookie recipe calls for 3 cups of The brownie 7. is for She is to make 3 of…

A: Given chip cookies 3 batches and brownie 4 batches. 3 cups of sugar is required. For brownie recipe,…

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.