In how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must be 5 seniors in the committee?

Q: In how many ways can 10 distinct books be divided among three students if the first student gets…

A: Solution: From the given information, there are 10 distinct books divided among 3 students. First…

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

Q: From a group of 40 people( 30 women and 10 men) A jury of 12 people is selected. In how many…

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

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Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

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Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: how many ways can a committee of three men and four women can be formed from a group of nine men and…

A: Given data, No of men =9 No of women =6 In how many ways can a committee of three men and four…

Q: A restaurant offers 4 different flavours of coffee, 3 different soup selections and 4 different…

A: From the provided information, A restaurant offers 4 different flavours of coffee, 3 different soup…

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: In how many ways can a chairperson and a treasurer be chosen from a club with 18 members, all of…

A: Total number of members is =18

Q: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

A: There are a total of 210 contestants. Remember that the same person cannot receive more than 1…

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

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

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Q: 7 freshmen, 10 sophomores, 8 juniors, and 9 seniors are eligible to be on a committee. In how many…

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Q: a restaurant offers 2 different flavours of coffee 3 different soup selection. in how many ways can…

A: Two step multiplication principle: Assume that a taskcan be broken up into two consecutive steps.…

Q: A club consists of 9 men and 12 women. In how many ways can they choose a president, vice president,…

A: Given, A club consists of 9 men and 12 women.  Combination Formula: A combination of r elements of a…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

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Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, and 2 Italians be seated in a row so that…

A: We have given that  Americans = 3 Frenchmen = 4 Danes = 4 Italians = 2

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In how many ways can you seat two children and three adults in a row of five seats if the children…

A: Number of ways of arranging two children       =2! Number of ways of arranging three adults…

Q: In how many ways can a person select seven party guests from 12 women if he is to avoid having a…

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Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

Q: In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are…

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

Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

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Q: In how many ways may the Judges in a beauty pageant choose a winner and a first runner up if there…

A: 20   126

Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: A person has 4 dress shirts, 3 ties, and 7 jackets. In how many ways can that person select a dress…

A: Given: A person has 4 dress shirts                                3 ties…

Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: 7 freshmen, 9 sophomores, 10 juniors, and 9 seniors are eligible to be on a committee. In how many…

A: In the question it is asked to form a committee of 15 students with the following condition. Choose…

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: In how many ways can a committee of five men and four women be formed from a group of ten men and…

A: ,Of the 9 women available, we must choose 4. The number of possible is

Q: If there are 4 chocolate chip, 2 oatmeal, and 2 double chocolate cookies in a box, in how many…

A: If there are 8 cookies, therefore n=8. we want to eat all of this cookies; therefore , we are…

Q: In how many ways can a person invite 4 out of their 13 closest friends to a dinner party?

A: Here there are 13 friends out of which the person has to invite 4 friends for the dinner party. Here…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: A group has 12 members. In how many ways can 4 officers consisting of president , vice-president ,…

A: Total members n=12 no of officers r=4 Total no of ways=?

Q: How many ways can a group of 7 blood donors be chosen from 5 type A donors, 5 type O donors, 4 type…

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Q: A committee consists of 5 people Smith,Jones,Clark,Brown and White in how many ways can the members…

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Q: In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each…

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Q: fire stations that need new chiefs and 12 qualified candidates. In how many different ways could…

A: Given Data : Number of fire station =6                       Number of qualified candidates =12…

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

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Q: How many ways are there to sit the committee in a row at a meeting if the students must sit together…

A: This is question from permutation and combination

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

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Q: Complete task from image

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Q: 7. There are 7 boys and 5 girls in a class. а. How many ways can a committee of 4 people be selected…

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Q: In how many ways can 8 people be seated in a row if there are no restrictions on the seating…

A: As per our guidelines, we are allowed to answer three sub-parts only.   1.there are no restrictions…

Q: In how many ways can a committee of two men and three women be formed from a group of eleven men and…

A: Combinations are selections made by taking some or all of a number of objects, irrespective of their…

Q: A committee of 3 men and 3 women are to be chosen from a group of 7 men and 6 women. The oldest of…

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.