Suppose there are three different farmers collecting eggs from a hen house. The amount of eggs in the hen house is currently unknown. (a) How many eggs do there need to be in the hen house in order to guarantee that at least one farmer has at least 9 eggs? (b) Now suppose there are 17 eggs in the hen house. Can we guarantee that at least one farmer has at least 7 eggs?

Q: Student Congress has nine members who are seniors and six members who are juniors. At Spring…

A: We have 9 seniors and 6 juniors.  Now, at the spring premiere for prospective students, we need to…

Q: Assume that the committee consists of 10 Republicans and 5 Democrats. A subcommittee consisting of 5…

A: Given Information: Assume that the committee consists of 10 Republicans and 5 Democrats. A…

Q: A president and a treasurer are to be chosen from a student club consisting of 25 people. How many…

A: Choices of officers are possible if i ) there are no restrictions, P225 = 25!2! P225 = 600 ii) here…

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of…

A:

Q: A French pastry shop sells 15 different flavors of macarons. Assume that it has an unlimited supply…

A: Q3.3 If half (6) are one flavor and half (6) are a different flavor:- First, choose 2 flavors out of…

Q: 20 professors are having a tea party, 6 physicists and 14 mathematicians. To prepare, they need to…

A: From given data we have : 20 professors are having a tea party, 6 physicists and 14 mathematicians.

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

A:

Q: In a class, there are 5 boys and 4 girls. How many ways can we form a committee / group / team of 3…

A: The number of boys and girls in the class are 5 and 4 respectively. The committee must have 3…

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: (b) A committee of 10 people is to be chosen from a group of 12 men and 8 women. How many committees…

A:

Q: Assume that the committee consists of 11 members including Julie. The same three offices are to be…

A:

Q: Anne has 4 friends and 5 coworkers. Each day in the year 2019, Anne talked to some number of…

A: Anne has 4 friends and 5 co-workers. On any given day, she can talk to atleast 1 but never 4 friends…

Q: There are some marble balls. If we pick 2 marbles continually at one time, we will have 1 left. If…

A: Given information:A collection of marbles presented with the property that if pick 2 at a time, one…

Q: Students are building their schedules at a small university. There are 12 departments offering…

A: There are 12 departments offering classes. A students have to build a schedule of 5 courses each…

Q: A carton of 12 rechargeable batteries contain one that is defective. In how many ways can the…

A: Given,no.of defective batteries=1no.of non defective batteries=11Total no.of batteries=12

Q: Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main…

A: From the provided information, Number of deserts with ice cream as a main ingredient = n (A) = 8…

Q: A small university has 5 academic departments. A committee of 3professors is going to be formed,…

A: Given that a small university has 5 academic departments namely, Art department, History, Dance,…

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: ) the bags are required to be non-empty; ) we allow bags to be empty; ) all bags are required to be…

A: We have 80 identical tennis ball and 20 identical bags . We need to calculate number of ways to fill…

Q: Your closet is a bit disorganized and, in addition to that, the light does not work. In the…

A:

Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…

A: Let, A be the students who are major in math, B be the students who are major in communications.…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…

A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…

Q: There is a law made that every man that keeps sheep shall for every 10 sheep, sow one acre of ground…

A: Let the number of sheep he shall keep is 'x'. Given that for every 10 sheep, every man has to sow…

Q: there are 6000 students at mountain high school and 3/4 of these students are seniors,if 2/3 of the…

A:

Q: The Burgero Magnifico restaurant offers five types of bun, eight patties, ten cheeses, eight…

A:

Q: You have 8 pairs of socks of different colours in one of your drawers [a pair has both socks of the…

A: