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: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

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: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

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: Elephants have the longest pregnancy of all mammals. suppose that for Asian elephants, the lenghts…

A: The objective of this question is to find the percentage of Asian elephant pregnancies that are…

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

A:

Q: Suppose a statistics instructor believes that there is no significant difference between the mean…

A: Complete solution and answer is given in the image uploaded below  Thanks!

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

A:

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

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: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

A:

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 math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

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

A:

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 are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…