Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In how many ways the 4 games can be selectēd?
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: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…
A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.
Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…
A: It is given that there are science courses in physics, biology, and chemistry, and humanities…
Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…
A:
Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…
A: This is a counting problem, and we will solve this using the concept of permutations.
Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…
A: Given, in a piggy bank, there are 8 nickels, 5 dimes, 7 quarters, and 6 loonies.
Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…
A:
Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…
A: The number of ways of selecting 2 cats from 12 cats is,
Q: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…
A: Solution
Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…
A:
Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…
A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3 STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…
Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…
A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…
Q: You go to a store which buys 7 brands of candies (B1, B2, ., B7). You have 4 children and you want…
A: A combination is an arrangement of items in which order does not matter. Number of combinations of n…
Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…
A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…
Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…
A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35 We have…
Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…
A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…
Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…
A: Given, Number of males = 8 Number of females = 11 The objective is to find how many different…
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: 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: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…
A:
Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…
A:
Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…
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Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…
A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…
Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…
A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…
Q: A test consists of 12 questions that are divided into three questions. There are 5 questions in the…
A: Given: Questions in first section =3 Questions in second section =2 Question in third section =1
Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…
A:
Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…
A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…
Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…
A:
Q: Jessica knows that her glove drawer contains 12 green gloves, 10 purple gloves, 8 white gloves, and…
A: Given Information: No. of gloves=36Green gloves=12Purple gloves=10White gloves=8Red gloves=6
Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…
A: Depends on given data total outfits 3x4x3x3x2= 216 No need to wear socks and caps So total ways…
Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…
A:
Q: Your friend wants to perform a magic trick and asks you to draw 2 cars from a standard deck of 52.…
A: There are 52 cards in a standard deckIf you choose randomly two cards in a deck, place the first…
Q: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…
A: Given that Natasha is in a class of 30 students that selects 4 leaders. To find Number of ways are…
Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…
A: Since you have posted a multiple question ,I will solve the first question for you. To get…
Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…
A: pick the first and second places in the firdt two races. first race runs 12 horses second race runs…
Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…
A: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…
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: The newest cars have 12 different accessories and the buyer pays for each one separately. If a…
A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories
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- There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side by side on a table, how many different ways could he order them?Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. How many ways can this be done, if the order of the choices is taken into (a) consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?
- Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and purple. how many ways can this be done, if the order of the choices is taken into consideration? how many ways can this be done, if the order of the choices is not taken into consideration?Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE. How many ways can we stack the 10 blocks?A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How many ways to choose three flowers if i. they are all of different type. ii. they are all of the same type.
- In a class with 10 boys and 8 girls, 5 girls and 4 boys will be chosen. how many ways can the students be chosen?A kindergarten teacher has 9 books about a holiday. In how many ways can she select 3 of the books to read to her class in the week before the holiday?In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the dessert. If a person had to choose 1 of each course for his meal, in how many ways can he choose a combination of these dishes?
- Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?A certain car dealership sells two models of cars: Model S and Model V. Model S comes in 8 different colors and has 4 types of wheels available. Model V comes in 4 different colors and has 2 types of wheels available. How many different ways could you choose a single car from this dealership?If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly the same number of candies that could be bought in packages containing 20 candies, what is the fewest number of packages that could be bought?