16 persons shake hands with one another in a party. How many shake hands took place? Select one: O i. 150 O ii. None of the above O iii. 165 O iv. 124 O v. 120

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: 47: Suppose a poker hand is dealt to an engineer at a casino and the engineer would like to know…

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Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: Shake. Ten people attend a party. If each pair of people shakes hands, how many handshakes will…

A: Combination Rule:There are n different items and r number of selections and the selections are made…

Q: Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different…

A: Finding the number of elements in a set or the total number of possible outcomes in an event is…

Q: In college, 200 students are randomly selected, 140 like tea, 120 like coffee and 80 like both tea…

A: Total number of students are randomly selected = 200  number of students like tea = 140 number of…

Q: Sixteen middle school children are on the track team. a. How many different six member teams can be…

A: The information provided in the question are as follows :- There are in total sixteen middle school…

Q: At a salsa lesson there are five boys: Adam, Bob, Chad, Dave, and Evan, and five girls: Fay, Gail,…

A: We have to find the number of ways in such a manner  that each pair having one boy and one girl.

Q: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: A club consists of 23 people. In how many ways can they choose a president, vice president,…

A:

Q: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

A:

Q: The Cotters are throwing a party. The first time the door bell rings, 1 guest enters. On the second…

A: Given: The Cotters are throwing a party. The first time the door bell rings, 1 guest enters. On the…

Q: From a deck of 32 cards, we select 5 cards at random. The number of ways to obtain four cards with…

A: 16 cards of red color and 16 cards of black color in a deck of 32 cards . it means ,there is 2 red…

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

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Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

A:

Q: A standard deck of 52 playing cards consists of 4 suits and 13 cards each. How many different 5-card…

A: Total number of plying cards = 52 There are 26 black and 26 red cards  There are 4 suits in the deck…

Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8, then shuffled, and three cards…

A:

Q: In how many ways can six different rings be worn on four fingers of one hand? Select one: O a. 16 O…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: In how many ways can we select 5 people out of 10, of which a particular person is not included? a.…

A: Here we have to select 5 people out of 10 of which a particular person in not included

Q: V consider a Little League team that has 10 players on its roster. How many ways are there to select…

A: Given data.  10 players on roster Select 5 for starting lineup

Q: How many possible combinations of letters can a person have in their three-letter initials if no…

A: Given a person have three letter initials and no letter repeats.Total number of letters = 26.The…

Q: Draw a Diagram At the conclusion of a baseball game whose teams included 10 players, each player on…

A: The number of fives given to the losing team will be =10×10=100 The number of fives given by the…

Q: a normal deck of cards, with 52 cards creating four suits including hearts, spades, diamonds, and…

A: a normal deck of cards, with 52 cards creating four suits including hearts, spades, diamonds, and…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

Q: At a music​ festival, there are eight bands scheduled to​ play, numbered 1 through 8.   a. How many…

A: Given that ; Total bands (n) = 8 By using factorial concept we solve this problem

Q: Given a group of students: G={Allen, Brenda, Chad, Dorothy, Eric} or G {A, B, C, D, E}, count the…

A: Allen=BoyBrenda=girlChad=boyDorothy=girlEric=boySo the set for boy={A, C, E} and the set for…

Q: From a standard 52-card deck, how many 9-card hands consist of 5 diamonds and 4 clubs? ​

A:

Q: A swim coach is considering 8 swimmers as possible members of a 3-person relay team. a. How many…

A: Given data  8 swimmers are possible members of 3 person relay team.    nCr = n!r!(n-r)!nPr =…