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…
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A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.
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A: A standard deck contains 52 cards. Four cards have to select.
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Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles. How…
A: Since we are making set, so the order will not matter. If we select the lavender one, then we can…
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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: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…
A: We have given thatSeat of 12 people Number of men = 6Number of women = 6
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: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…
A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…
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: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…
A: The given data is as follows:The objective is to compute the number of ways in which one can choose…
Q: A time traveler can take 4 books with him, and he has 54 books to choose from. How many different…
A: The objective of this question is to find out the number of ways the time traveler can select 4…
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: How many different 4 card hands can be dealt from a deck of 52 cards?
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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 card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen…
A: The objective of the question is to find the number of ways to choose 7 cards from a deck of 20…
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: 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: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…
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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: 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…
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Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…
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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: 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: Casino has a new game that uses 10 identical decks of cards mixed into 1 megadeck. How many 10 card…
A: A deck consists of 52 cards. Total cards in 1 megadeck that uses 10 identical decks of…
Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…
A: Combination formula : nCr = n! /(n-r)! r!
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…
Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…
A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…
Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…
A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
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- A certain writing club has 4 authors and 5 poets.How many ways are there to form a group for a work session of 4 people? How many ways are there to form a group for a work session with 2 authors and 2 poets?In a bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 marbles, without replacement, in how many ways can you choose exactly one purple? nothing waysSuppose 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?A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?Suppose a box contains 3 red balls and 3 blue balls. You pick balls at random from the box, one at a time. When you pick a red ball, you keep it. When you pick a blue ball, you return it to the box. On average, how many times will you have to pick a ball from the box until you have picked out all three red balls?
- Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if all three cards must be of the same denomination? at least 2 cards must be of the same denomination? each card must be of a different denomination?If you pick 4 cards without replacement from a standard deck of 52 cards, how many different combinations are possible?Two freshmen and three sophomores from a sorority will attend a conference. If the sorority has 12 freshmen and 15 sophomores, in how many different ways can the conference attendees be selected?