In how many ways can a class president, vice president, secretary and treasurer from a class of 100 students? Answer: There are possible ways.

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president,…

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin…

Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: In how many ways can the letters in the word "school" be arranged?

A: It is permutations problem

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards out of…

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of eight Democrats…

A:

Q: In how many ways can be 10 married couples sit around a table if a. There are no restrictions? b.…

A: Here we will use the concept of permutations to solve the problem

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

A:

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: In how many ways can four aces be drawn from a deck of cards.

A: The aim is to find in how many ways four ways can be chosen from a deck of cards.

Q: 33. Class Executive In how many ways can a president, vice president, and secretary be chosen from a…

A: Given: Total number of students in a class =30

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: In how many ways can 8 people be seated in 8 adjacent seats in a theater? There are ways to seat 8…

A:

Q: There are 8 teams in the Metropolitan Division in the NHL's Eastern Conference. How many ways can…

A: Given , Number of teams=8 Number of ways can the team finish first = 8Number of ways can the team…

Q: In how many ways can 8 students be seated in a row if one particular student must always be placed…

A:

Q: How many ways can a person invite 3 friends out of 6 friends for dinner

A: Here use combination

Q: in how many ways can 6 couples be seated at a round table if men and women want to sit alternately​

A: First let the men sit around the round table No of ways = 5*4*3*2*1=120

Q: How many ways seating arrangements are possible for five people at a roundtable

A: Given that number of people are: n=5 The number of permutations of n elements in a circle is: P=n-1!

Q: A bag contains 11 pieces of candy. In how many ways can four pieces be selected? way(s)

A: To find: The number of ways of 4 pieces of be selected.

Q: a round table?

A: It is given that 11 people have to sit in a round table. Using the circular permutation property, If…

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: 3. The environment club is electing a president, vice president, and treasurer. How many different…

A: Here, we have to choose 3 person out of 12, thus this is a combination question So, the answer is =…

Q: Betropolis’ government consists of 12 people. In how many different ways can they appoint a…

A:

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Q: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

A:

Q: How many ways 5 students be seated in a row of 5 chairs for a pictorial?

A: Given students=5 chairs= 5

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A:

Q: In how many ways can first, second, and third prizes be awarded in a contest with 840 contestants?…

A: We have to find number of ways to distribute the awards.

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: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many ways are there to draw a heart or queen from a standard deck of 52 cards?

A: Given that 52 cards

Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

A:

Q: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: Given that the Senate committee consists of 7 Democrats and 7 Republicans. Thus, the total number of…

Q: In how many ways can a committee of 3 be chosen from 7 people

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: many

A:

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people

Q: How many different ways a president and a vice president  can be selected from a group of 20…

A: Combination is a method in mathematics that is used to calculate the number of way certain objects…

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

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.