Q: Thirty five tourists have visited Japan, 34 tourists have visited Korea, and 19 tourists have…

A:

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A: Venn diagram are used to visualize the group of observations. In venn diagram, we can indicate only…

Q: How many possible 5-card hands from a standard 52-card deck would consist of the following cards?…

A:

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: A boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. (a) How many outfits can he wear to…

A: a) Given that the boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. All items are…

Q: An ordinary deck of 52 cards consists of four suits: clubs, diamonds, hearts spades A. How many…

A: Given An ordinary deck of 52 cards consists of four suits:  clubs, diamonds, hearts spades

Q: (a) In how many ways can persons A, B, C be lined up? List all possible permutations of these…

A: Solution: a). Total number of persons  = 3 Number of ways that persons A, B, C can be lined up is =…

Q: 13) A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Given,no.of green balls=5no.of yellow balls=7no.of orange balls=10Total no.of balls=22

Q: A small social network contains four people who are network friends with six other people in the…

A: (a) To find Number of people are network friends with three other people in the network. (b)To find…

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: ow many different letter arrangements can be made from the letters in the word of COMMUNICATION ?…

A:

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A:

Q: A class contains 9 boys and 3 girls. (a) In how many ways can the teacher choose a committee of 4?…

A: ANSWER: From the given data,

Q: A rent a car company has 14 available cars on its lot and 3 customers waiting in the office. Assume…

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: In how many ways can 8 people be seated in a ROUND TABLE if (a) there are no restrictions on the…

A: (a) (n-1)!=(8-1)!=7!(b) AB        ↓     1 unit∴ n = 7No of ways = (7-1)! 2!…

Q: Assuming all members are eligible, but no one can hold more than one office, list and count the…

A: The given N is (Adam, Bruce, Carrie, Douglas, Emma) it is denoted in the form of (A , B, C, D, E).

Q: State if the scenario involves a permutation or a combination. Then find the number of possibilitie.…

A: topic - permutation and combination

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A: The number of students who played hockey and soccer = 12 The number of students who played  all…

Q: In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: 2.100 college students were surveyed, and it was found out that all of them have visited at least…

A: Let's solve.

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: Assume that 155 students are surveyed and every student takes at least one of the following…

A:

Q: 186 people seated at different tables in a Mexican restaurant were asked if their party had ordered…

A: Venn diagram based on the information:

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A:

Q: 28. A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: As per our guidelines we are suppose to answer three sub parts. Given,no.of green balls=5no.of…

Q: 186 people seated at different tables in a Mexican restaurant were asked if their party had ordered…

A: Total number of people nμ=186 Number of people who ordered all the three items is nN∩C∩Q=11 Number…

Q: 1. When a group of 25 students are surveyed: O 6 like ice cream O 12 like hot dogs O 15 like…

A: Solution : n= 25 Let, A : students who likes ice cream B : Students who like hot dog C : student who…

Q: The chess club has five members. (a) In how many ways can all five members line up for a picture?…

A: Given n=5

Q: A survey of 100 college students regarding the ownership of laptops and tablets revealed the…

A: A survey of 100 college students regarding the ownership of laptops and tablets revealed the…

Q: 9. Larry, Jun, Rod, Lyn and Espie are members of a group from which a committee of three will be…

A: There are 5 members from which we have to choose 3 members

Q: A president, a treasurer and a secretary are to be chosen in an organization having 30 members. A.…

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Q: A committee of four is to be selected from a group of twenty people. How many different committees…

A:

Q: many are odd? (d) how many are uunupres - In how many ways can a party of 7 persons arrange…

A: Given that there are 3 boys and 2 girls. There are a total of 5 people.(a) Since, there is no…

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: In a survey, 105 people were asked if they believed in UFOS, ghosts, and Bigfoot. 12: ghosts and…

A: *concept:- draw Venn Diagram.

Q: In how many ways can Silly Chicken select 6 out of 19 possible sites for the construction of new…

A: There are total 19 sites. Silly Chicken will select 6 sites from the 19 sites.  Here order does not…

Q: cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7​, then​ shuffled, and two cards are drawn.…

A:

Q: a dinner gathering. In how many ways can the host (one of the 12) arrange his guest around a dining…

A: To find:  1.Number ways can the host arrange his guest around a dining table. 2.Number of ways three…

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

Q: In how many ways could members of the following club line up all 10 members for a photograph?…

A: We have to find nom of ways to line 10 members for photograph.

Q: 2. There are 102 students in John's freshman seminar class at SUNY Oneonta. The professor tells her…

A:

Q: A boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets. (a) How many outfits can he wear to…

A: a) Given that the boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets. All items are…

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) How many…

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: 6. Seven cross country runners will be chosen from the SFSU cross country team of 14 to represent…

A: From the given information. The number of cross country runners are 7. Total number of members in…

Q: A survey of 100 college students regarding the ownership of laptops and tablets revealed the…

A: Note: Hi there! Thank you for posting a question. As there are multiple sub parts, according to our…

Q: Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. A card…

A: Given Information- We have given 4 cards labeled A, B, C and D are placed in 4 boxes labeled A, B, C…

Q: A club has 25 members. a) How many ways are there to choose four members of the club to serve on an…

A:

Q: 186 people seated at different tables in a Mexican restaurant were asked if their party had ordered…

A: First we have fill Venn diagram with the help of given data. We can solve this question with the…

Q: In how many ways can 8 people be seated in a row if there are no restrictions on the seating…

A: As per our guidelines, we are allowed to answer three sub-parts only.   1.there are no restrictions…

Q: Nine cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9​, then​ shuffled, and three…

A: We have cards marked with numbers from 1,2,3,4,5,6,7,8,9 We have to draw three cards without…