Determine the "n" and "p" in the following problems and write them in Combination notation. a)How many teams of at least 5 students and at most 7 students can be chosen from 15 students? b) A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the audience. In how many ways can he invite the 2 people from the audience? c) If a student is to answer any six problems on a test consisting of nine problems, in how many different ways can the student select the six problems? d) A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways can they be selected if the new members consist of at least 2 females?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: Again it is related to my trip to Vancouver: Fly to Vancouver and to have a vacation is not a cheap…

A: Solution: Given information: n = 98 Sample size of couples  x = 3031 Sample mean s = 361 Sample…

Q: For each situation below, identify whether it is a permutation or combination problem and then find…

A: Permutation relates to the act of arranging all the members of a set into some sequence or order.…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

A:

Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

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

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Solve the following problems You have seven books and are going to put three on a bookshelf.…

A: 1 ) Let , you have given 7 book

Q: There is a 4-on-4 dodgeball game (8 players total). After the game, everyone shakes hands with…

A: Given in this question that there is 4-on-4 dodge-ball game (8 players total) after the game…

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

A:

Q: the lower confidence level with 2 decimal

A: Given : n=93 , X-bar=2873  , s=222  , α=0.05 Since , the population standard deviation (σ) is…

Q: A group of 10 people is choosing a chairperson and vice-chairperson.  They put all 10 people's names…

A: From the provided information, Total people in group = 10 They are choosing a chairperson and…