In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events. How many played chess only, basketball only and volleyball only? How many students are there in all?

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: Let X be a continuous random variable whose density is: (see image below): The probability P(0.679…

A: We have to compute the probability that x is greater than 0.679 and less than 1.177

Q: casino. Of them 18 play both slots and table games, 35 play table games, and 6 play neither. How…

A: Solution

Q: Let X be the number of minutes that it takes a random selected student to solve a mathematical…

A: We want to find mean and standard deviations

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: A bag contains 3 red marbles, three green ones, 1 lavender one, two yellows, and 4 orange marbles.…

A: We have to find number of possible sets of three marbles using given data Formula required:  Number…

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

A:

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

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: 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: 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: 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: In a race with 8 swimmers, how many ways can swimmers finish first, second, and third?

A: There is total 8 swimmers.

Q: How many different 4 card hands can be dealt from a deck of 52 cards?

A:

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

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: 14 children are going on a field trip and must be paired up (the buddy system). In how many ways can…

A: To find: In how many ways can the 14 kids be paired up with each other?

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: fa family now li wo years from now? A suburban area? A rural area? uppose that at present, 40% of…

A: .

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: There are 17 students in the club. How many ways can a committee of at most 3 students be chosen

A:

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: A coffee shop offers five different flavors of coffee and three flavors of doughnuts. How many…

A:

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given information: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards.…

Q: ow many way

A: The probability containing a pack of 52 cards.

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…