n how many different ways can we select a committee of a president, vice president , and a secretary from 15 applicants?

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution

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 you seat 2 children and 5 adults in a row if the children must be seated at…

A: Given: In how many ways can you seat 2 children and 5 adults in a row if the children must be seated…

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: 10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: Given data 8 members available  We have to select 6 from it for committee Here order of selection…

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

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: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

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: 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 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: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: 47. The membership of a particular club consists of 8 men and 4 women. If no one may hold more than…

A: Note: As per Bartleby Guidelines, only 3 subparts of a question can be solved at a time. so kindly…

Q: A president, vice president, and 3 at-large members are selected for a school council from 9 people.…

A: Given that president, vice president and 3 at-large members are selected from 9 people.   Number of…

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 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: 1) A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A:

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

A:

Q: (A) How many ways can a 3-person subcommittee be selected from a committee of 9 people? (B) How many…

A:

Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: . In a hospital with 20 medical doctors, how many ways can we select 5 at a time to be in the…

A: Number of medical doctors are 20

Q: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

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: A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A:

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination…

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of…

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: 7. A regional committee has 5 members from Town A, 3 members from Town B, and 2 members from Town C.…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 1ST MAIN QUESTION  here use combination

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How many ways can an IRS auditor select 5 of 12 tax returns for an audit?

A: We have to find no of ways...

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

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 we choose 5 students from 7 boys and 5 girls?

A:

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

A:

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: We know that number of ways of selecting r things out of n things = Crn There are 12 samples of…

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: IV. The Math Club in MB School, Inc. is composed of 4 freshmen, 6 sophomores, 5 juniors and 2…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

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: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m