toys of the same material type must be grouped together;(B)rubber toys should not be next to each other?

Q: 6. Assume that there are 7 unfilled roles: 4 male and 3 female. There are 10 men, including Mark,…

A: Given, There are 10 men including Mark and 7 women including Anne There are 7 unfilled roles: 4 male…

Q: From a group of 9 men and 11 women, a committee consisting of 2 men and 2 women is to be formed. How…

A: Men=9Women=11Choose for a committee 2 men and 2 women

Q: Suppose you wish to arrange 2 math books, 5 chemistry books, and 4 history books on a single…

A: Given that  Number of math books = 2 Number of chemistry books = 5 Number of history books = 4 Total…

Q: 4. Find the number of ways 6 large books, 5 medium-size books, and 3small books can be placed on a…

A:

Q: In how many ways can 4 different IT books, 2 different mathematics books, and 1 biology book be…

A: The objective of this question is to find the number of ways the books can be arranged on a…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

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

A: The provided information is as follows:The total number of men is 11.The total number of women is…

Q: John is putting ceramic tile on the wall of the school store and he chooses three colours of tile:…

A: John has purchased 20 tiles in total, five green, 10 gold, and five white.

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

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

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: If six black, five red, four white, and two green disks are to be arranged in a row, what is the…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

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

A:

Q: A baseball team has 13 possible batters. How many batting orders ofnine players can be made, such…

A: Ans-In this question we are given baseball team has 13 possible batters. and we want to find  how…

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: 2. You have one x-block, six x-blocks (all of which you must use), and a supply of 1-blocks. How…

A: To draw block diagram for first we have to draw one one box six time  Similar Second can also be…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any…

A: Explanation of the answer is as follows

Q: Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress…

A: He can pick a shoe in 3 ways, a boot in 4 ways, a jeans in 8 ways, a dress pant in 9 ways, a dress…

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

A: