A group of 18 people have gotten together to play baseball. They will divide themselves into two teams of 9 players each, with one team wearing green uniforms and the other wearing yellow uniforms. In how many ways can this be done?

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

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Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

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Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: See the attachment

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: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

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Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

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Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: In the United States Senate, each state is represented by one junior senator and one senior senator.…

A: From the given information. The total number of states in the Midwest is 12. Each state is…

Q: A college awarded 38 medals in football, 15 in basketball and 20 incricket. If these medals went to…

A: Let F, B, C be the sets of the students who received medals in football, basketball and cricket…

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: If a family has six children, in how many ways could the parents have two boys and four girls?

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Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: A certain committee has organized a retreat for all couples, where the couples are to sit around a…

A: SolutionGiven A certain committee hasorganised a retreat for all couples, wherethe couples are to…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

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Q: An equestrian club has ten members. If the club wants to select a president, vice president, and…

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Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

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Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: Federal Express driver must make ten deliveries to ten different addresses. In how many ways can she…

A: factorial of n items gives you the number of ways you can arrange the given items

Q: An ice cream store sells two drinks in four sizes and has five flavor add ons. In how many ways can…

A: From the provided information, The ice cream store sells two drinks in four size and has five flavor…

Q: In the United States Senate, each state is represented by one junior senator and one senior senator.…

A: It was stated that United States Senate, each state is represented by one junior senator and one…

Q: A committee of 6 people, with three of the six to be designated chair, vice-chair, and secretary, is…

A: 5. In a group there are 15 people. A committee of 6 people has to be selected, in which 3 must be…

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

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: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

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Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

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Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

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: How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes, in…

A: a. Four piles of 13 cards are needed to be selected.  First 13 cards can be selected from 52 cards…

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

A:

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: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

A:

Q: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: If a family has seven children, in how many ways could the parents have three boys and four girls?

A: Since there are 7 children. To find the number of ways such that parents have three boys and four…

Q: After selecting nine players for a baseball game, the manager of the team arranges the batting order…

A: Given, After selecting nine players for a baseball game, the manager of the team arranges the…

Q: In how many ways can 4 AIRFORCE and 5 ARMIES be seated on a bench if the ARMIES must  be seated…

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: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

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Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

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Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

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.