Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5 male students and 8 female students? 2. A jar contains 6 white marbles and 7 black marbles. In how many ways can 6 marbles be chosen if there should be 3 of each color?

Q: 3. Which group of students at Oxnard College would be the largest? Students who have brown hair.…

A: Here we need to find which group of students in Oxnard college is the largest.

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Given : 6 students ( 4 males and 2 females) To make committees: 3 students ( 2 males and 1 female)…

Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages…

A: Given, there are 5 wheels in each kit. And the available number of wheels is 30 that have to…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: filaterals can you draw using the dots below as verti quadrilaterals possible in the previous…

A: *Answer:

Q: Seven people sit in a circle. How many ways can this be done if two people must sit together?

A: From the provided information, There are seven people sit in a circle from which two people must sit…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Number of total student is 6 (4 male and 2 female) Number of member for committee is 3 (2 male and 1…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: After gym class you are tasked with putting the 24 identical dodgeballs away into 7 bins. a. How…

A:

Q: How many yards of yarn

A: Yarn need for 1 sweater = 175 yards  Yarn need for 3 sweater = 175 × 3 = 525 yards  Yarn need for 3…

Q: in how many ways can 7 students be seated in 4 chairs a. 210 b. 840 c. 2401 d. 35

A: Given Information: To find out the number of ways 7 students can be seated in 4 chairs.

Q: A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways in which the 13 ducklings can line…

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

A:

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

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

A:

Q: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

A:

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…

Q: A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where:…

A: The total no. of boys is .The total no. of girls is .Consider the formula for . For  considered…

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if…

A: The group contains 9 women and 6 men. A 4-person committee is selected. a) The number of ways to…

Q: how many seating arrangements can be done? (

A: here given ,  there are 6 girls and 5 boys in class

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: 5. How many rectangles are on am x n-size "chessboard"? For example, there are nine rectangles on a…

A: We have to find the total number of rectangle in m×n-size chessboard.

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: four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of…

A: Given thatfour people are tkaing a road trip. two sit in the front seat and two sit in the back…