Which is an example of disjoint sets in a deck of ordinary playing cards? a. A = {face cards} and B = {king of hearts} b. A={no. greater than 5} and B = {no. less than 10} c. A={red cards} and B = {face cards} d. A = {red cards} and B = {black cards}

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: How many different 4-card hands can be dealt from a standard deck that: Contain 3 Hearts or 3 Clubs

A: We have to find no of combinations possible.

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: A deck of card contains 7 red, 5 black, 8 orange, and 9 white cards. How many different 4-card…

A:

Q: (combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: We have a  deck of 52 playing cards.  We draw 5 cards. Now, the number of ways to choose r things…

Q: A standard deck of cards has 52 cards. There are four suits: ♥, ♦, ♣, ♠. For each suit, there are…

A: Conditions:• The first group has three cards of the same denomination.• The second group has three…

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

A:

Q: Write a single statement that displays a number at random based on the specified set: (a) 2 4 6 8 10…

A:

Q: You draw two cards from a standard deck of 52 cards without replacing first one before drawing the…

A: Let the first event of drawing a 5 be denoted by A. Then the probability of drawing a 5 isPA=452=113…

Q: Each student in a class of 30 was randomly assigned one line of a random number table. Each student…

A: Here, it is clear that 50% of odd digits and 50% of even digits.

Q: (d) Number of ways to draw exactly 2 kings or jacks = 30,408,224

A: The combinations formula is, nr=n!n-r!r!

Q: How many poker “hands” are there of the form:         ?

A: Given problem Given that

Q: An insurance agent has a list of 9 prospects and decides to telephone 5 how many different ways can…

A: THERE ARE TOTAL 9 PROSPECTS AND ON THE 1ST DAY WE NEED TO CALL THE 5 PROSPECTS THEREFORE TOTAL WAYS…

Q: combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: To find a. How many 5-cards hands are there consisting of all diamond suits b. How many 5-cards…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: rd or a red card d) a heart or a black card e) a card less than 9 or a club (The ace is considered a…

A: From the provided information, Total cards in a standard deck = 52 There are 4 suits (spade,…

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: in how many ways could members of the following club lineup all seven members for a photograph? N=…

A:

Q: Draw a Diagram At the conclusion of a baseball game whose teams included 10 players, each player on…

A: The number of fives given to the losing team will be =10×10=100 The number of fives given by the…

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: A club N with four members is shown below. N = {Aaron, Brad, Cindy, Dennis), abbreviated as N = {A,…

A: .

Q: In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit)…

A: Obtain the number of different poker hands that are flush as follows. A straight can begin with any…

Q: From a deck of 52 cards, the 9 selected were of three suits. They were; 2 heart, 4 spade and 3 club…

A: The arrangements can be done for two different cases, one considering denomination and one not…