Suppose a designer has a palette of 9 colors to work with, and wants to design a flag with 3 vertical stripes, all of different colors. How many possible flags can be created?

Q: The eleven players of the CHS sepak takraw team are to be photographed for the team's tarpaulin. In…

A: Here, the question is in how many ways can 11 players can be arranged in a row.

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A:

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

A:

Q: Suppose 84% of students chose to study Spanish their junior year, and that meant that there were 378…

A: Then,

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

A:

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

A:

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the…

A: Consider the given statements,Determine in how  many ways can the selection be made so that at least…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: With 20 people seated around a tabke, how many ways can 3 people be selected without any being…

A: It is given that there are 20 people seated around a table. The total number of ways of selecting 3…

Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are blue. If…

A: Given, A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are…

Q: From  a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no…

A: Given,no.of men=4no.of women=5total no.of people=9

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: Suppose a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

Q: Assume that there are 6 types of upholstery, 2 types of wood, and 5 designs to choose from. Of the…

A: Of the 5 designs, 4 designs permit both a choice of wood and a choice of upholstery. We can pick…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4…

A:

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 2…

A: Recall:  nCr=n!r! (n-r)! We have, n=16, r=2

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

A:

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: Suppose a library has at least 6 copies of mathematics book, at least 6 copies of a physics book,…

A:

Q: Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A:

Q: In a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 15 colors and he wants to design a flag with stripes, all of…

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen,…

A:

Q: you have 11 tubs of paint how many distinct color groupings can you make with your paint?

A: Total given colors are   11 Total distinct colors grouping   ?   we can solve this question with the…

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the…

A: Given: There are 4 types of upholstery                            4 types of wood…

Q: Suppose a designer has a palette of 10 colors to work with, and wants to design a flag with 2…

A:

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

A:

Q: The manufacturer plans to make scarves with 8 colored stripes. There are 16 colors to choose from…

A:

Q: A total of 50 students are in a class and they are to be divided into groups of 5. How many…

A: Ans - Given,       A total of 50 students are in a class and they are to be divided into groups of…

Q: With a group pf five men and five women, how many ways can they be arranged in a row if men and…

A: Given that  Number of women = 5 Number of men = 5