A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without​ looking, how many…

A: Given: There are total 4 oranges, thus it is not possible to get 5 oranges.

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings? Your answer is:

A:

Q: A scholar is choosing six books to take on vacation from a stack of 34. A. How many different…

A: Solution

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

A:

Q: In how many ways can six books be lined up along a shelf?

A:

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: In how many ways can 10 students be seated in a round table?

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Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

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Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

Q: How many ways can 7 people line up in a cafeteria line? How many ways can five people be chosen from…

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Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: How many different ways can 5 cellular cellphones be selected from 8 cellular phones?

A: Given,total no.of cellular phones=8

Q: 15. Among the animals in Mang Pedro's farm are chickens and piglets. If the count is 155 heads and…

A: As per our company guidelines, we need to answer only one question. So, kindly repost the 14th…

Q: How many ways are there to select four pieces of fruit from a bowl containing apples, oranges,…

A: Observe the total numbers of ways  k distinct things form a set of n things is given by nk. Now…

Q: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: A restaurant offers 8 entrees and 9 desserts. In how many ways can a person order a two-course meal?

A: We can find the answer as below.

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: How many ways can 10 candles be arranged on a shelf?

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a…

A:

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients…

A: The number of ways that the doctor can visit 8 patients during the morning rounds is,The number of…

Q: How many ways can 3 baseball players and 2 basketball players be selected from 9 baseball players…

A:

Q: How many ways can 5 people sit in a circular?

A: Given : Number of people = 5

Q: How many ways can you pick five students for the student council when there are twelve people…

A: The mathematical formulation which can be used to determine the total number of ways in which r…

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

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.