8. In a group of students, 65 likes red, 45 likes blue, 42 likes green, 20 likes red and blue, 25 likes red and green, 15 likes blue and green and 8 likes all the three colors. Find the total number of students in the group (Assume that each student in the group likes at least one game).

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: In a survey of 233 professional athletes, it was found that 105 of them owned a convertible, 91 of…

A: no. of athlete owned convertible = n(C) = 105 no. of athlete owned TV = n(TV) = 91 no. of athlete…

Q: It's all about COMBINATION. - A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how…

A:

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: Of the eighth graders at Praxton School, 15 played basketball, 9 played volleyball, 10 played…

A:

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: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A:

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: A standard deck of cards has 52 cards with 13 cards (Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King, (Ace))…

A: Straight flush : Straight flush consists five cards in consecutive order and each card in the same…

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

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: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

Q: In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of…

A: 1. Given that, the total number of athletes is nU=267. Let A represents the number of athletes owned…

Q: In a class consists of 18 students. An urn contains 1 blue and 17 red balls. Without replacement,…

A: Given: There are 18 students in the class and each students randomly pick up a ball from an urn…

Q: In a survey of 210 professional athletes, it was found that 95 of them owned a convertible, 98 of…

A: Given, Total number of Athelets surveyed = 210  Athelets owned convertible = 95 Athelets owned TV =…

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: 3. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be…

A:

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

A:

Q: Suppose a 5-card hand is dealt from a standard deck of 52 cards. How many 5-card hands can be formed…

A:

Q: In a group of students, 65 likes red, 45 likes blue, 42 likes green, 20 likes red and blue, 25 likes…

A: Let R be the set of students liking the red color.  Let B be the sets of students liking the blue…

Q: In a survey of 260 students, it is found that 78 like broccoli, 103 like cauliflower, and 56 like…

A: We will solve it by Venn diagram Let A be the set who like broccoli and B be the set who like…

Q: In a standard deck of cards, if the order in which cards are dealt his not important. How many hands…

A: There are total 52 cards in a deck And among those 52 cards, 12 cards are face cards.

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: 2 Aces, 2 Jacks, and a red Queen?

A:

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select 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 student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: Given an ordinary deck of 52 cards.  If a student draws a card from the deck,  He wins $13 for an…

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: How many 7-card hands that can be dealt off a 52-card deck in which two of the cards are diamonds…

A: The 7 card hands are dealt off a 52 card deck. These 7 cards consist of two diamond cards and 5…

Q: There are 5 players on the Rockets three -on-three basketball team.  a.) If you choose a starting…

A: a. The total number of players = 5. The number of person needed to begin the game at Hoop Fest = 3.…

Q: In a survey of 254 professional athletes, it was found that 128 of them owned a convertible, 119 of…

A: Given - In a survey of 254 professional athletes, it was found that 128 of them owned a convertible,…

Q: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A: It is given that the total number of cards (n) in the classic deck, is 52. Consider that d, h, and c…

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

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: An electronics store receives a shipment of 30 graphing calculators, 8 that are defective. Four of…

A:

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

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