It's all about COMBINATION. -From 7 Biology books and 6 Chemistry books, in how many ways can one select 2 Biology and 2 Chemistry books to buy if all the said books are equally necessary?

Q: On a varsity baseball team of the players are 1 seniors, of the players are juniors, and the re- 4.…

A: Let , total players be x.

Q: At​ Luigi's favorite Italian​ restaurant, the lunch special has a selection of 7​ appetizers, 4​…

A:

Q: How many ways can 3 female students and 4 male students be seated on a long bench if the bench can…

A: To accommodate 3 female students and 4 male students, there are so many possibilities like all the…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

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Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: It's all about COMBINATION. - A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how…

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Q: How many ways are there to pick three dipping sauces, if you can pick three of the same?

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Q: In Pancake Confectionery, 2/9 of the pancakes baked were strawberry pancakes, 1/3 of them were…

A:

Q: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

Q: Eight adults and two children need to cross a river in a small boat that can hold one adult or one…

A: A boat can hold one adult or one child or two children to cross the river. a) Eight adults and two…

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: There are 64 dogs and cats at the pet store. If one out of every 4 animals is a cat, how many dogs…

A: Given Data: The total number dogs and cats at the pet store is: N=64 Let, The number of cats is x.…

Q: If a baseball manager has 5 pitchers and 2 catchers, how many different pitcher-catcher combinations…

A: From the provided information, Baseball manager has 5 pitchers and 2 catchers.

Q: On Tuesday, Shanice brought five hats. In Wednesday, half of all the hats that she had were…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: 2. In your drawer, there are 4 identical pairs of brown socks and 8 identical pairs of green socks.…

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Q: How many ways can 7 people be assigned to 1 triple and two double rooms? If only 6 persons will be…

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Q: 50% of the students in a school were boys. 20% of the boys and 2/3 as many girls as boys took part…

A: As 50% are boys in the school so left 50% is girls which imply number of boys and number of girls…

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

Q: From a league of 20 players, we want tô chööse match. A goalkeeper, a captain and 9 players. In how…

A: Given Total number of players=20

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

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

Q: Dimitri wants to make 17 cents using only pennies, nickels, and dimes. How many different…

A: This question can be solved using logic

Q: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

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Q: Consider the ways in which you can total 95 cents with 7 coins. How many different ways can you…

A: The possible U.S. coins denominations are Penny(1 cent), Nickel(5 cents), Dime(10 cents), Quarter…

Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: - Kevin divided his marbles equally into 2 bags, Bag A and Bag B. In Bag A, there were 30 more red…

A: This question is related to numbers, ratio and proportion, we will solve it by using the conditions…

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

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Q: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

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Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: How many breakfast meals consisting of a fruit, a sandwich, and a drink are possible if one can…

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Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

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Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: 725 tickets were sold for a game for a total of $1,100.00. If adult tickets sold for $2.00 and…

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Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: You baked seven cupcakes of different flavor. In how many ways can you  give two cupcakes each to…

A: Here Given  Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

Q: The owner of a candy store wants to mix some peanuts worth $1 per pound, some cashews worth $9 per…

A:

Q: From a group of 10 boys and 6 girls a committee of 3 boys and 2 girls is to be selected. In how many…

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Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: If there are 9 apples and my sister ate 3, how many apples are left?

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Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

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Q: I think my classroom has four bookcases. There are the same number of books on the two red bookcases…

A: Introduction :-  Given :-  Classroom has four bookcases. There are the same number of books on the…

Q: You need to fly from NYC to LA with a stopover in Dallas. If there are three different flights…

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.