6. In a lottery game, 6 numbers are drawn from a machine with 40 balls numbered from 1 to 40. The person with the ticket containing all these 6 numbers in no particular order wins. How many possible winning tickets are there?-

Q: The thirty students in a certain discrete mathematics class all live in one of three dorms on…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: (a) If we have a bag of 14 pairs of socks, how many socks do we need to draw to ensure we get a…

A:

Q: 3. A child wants to draw a picture using only three different colors from a set containing twelve…

A: No.of different color pencils, n = 12 No.of different colors use to draw a picture, r = 3 The…

Q: 6. The varsity soccer team has 20 players. Three of the players are trained to be goalies while the…

A: Given data : Total number of player = 20 Number of goal keepers =3  Remaining player = 17

Q: In a black bowl contains 10 red balls and 10 yellow balls. One person selects balls at random…

A: Given Information :  In a black bowl contains 10 red balls and 10 yellow balls . One person selects…

Q: (a) How many different samples are possible? (b) How many samples of five contain exactly one…

A: Since , there are 140 chips of semiconductor and 10 chops do not confirm to customer requirements.…

Q: The thirty-one students in a certain discrete mathematics class all live in one of three dorms on…

A:

Q: 1. Find the total possible amount of eight-digit palindromics. Also, how many nine-digit…

A: Since there are multiple questions, we will solve the first one. Post the question again and mention…

Q: Nine persons enter a lift from ground floor of a building which stops in 10 floors (excluding ground…

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Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8​, then​ shuffled, and two cards…

A:

Q: 1. How many ways can we choose 20 doughnuts from 5 different flavors if we can choose at most 5 of…

A:

Q: The twenty-eight students in a certain discrete mathematics class all live in one of three dorms on…

A:

Q: 1. In how many ways can a committee of 4 be selected from a group of 10 persons if two

A:

Q: 17. 8 horses are running in a race. In how many different ways can these horses come to first,…

A: Total 8 horses   means  n = 8, First , second , Third position. means  r = 3.

Q: Example 44. A committee of 3 experts is to be selected out of a panel of 7 persons; three of them…

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Q: In a lottery, a player pays $1 and selects four distinct numbers from 0 to 9. Then, from an urn…

A: Player has to pay $ 1. For each game If he gots 3 numbers exactly. He get = 5 $ If he gots 4 numbers…

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: Since multiple parts given, part a and b are answered. Please repost for more help.

Q: How many possible outcomes for the individual games are there, such that overall player A ends up…

A: From the provided information  Out of the 9 games player A can win any of the 4 games, which gives…

Q: 20. )A box contains 6 red balls. 7 blue balls., and 8 white balls. In how many ways can the 3 balls…

A: Determine the number of ways that the 3 balls can be chosen for a different color.   The number of…

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

Q: Suppose you play a "daily number" lottery game in which three digits from 1-9 are selected at…

A: Given,no.of digits from 1-9 =9

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: 6. From a group of 9 men and 5 women, five persons are to be selected to form a committee so that at…

A:

Q: A bowl contains 10 red balls and 10 blue balls. A person selects balls at random without looking at…

A: No. of Red balls = 10 No. of Blue balls = 10 a) having at least 3 balls of same colour If a person…

Q: 2. Suppose there is a race between 9 friends. How many ways can the race be completed if John is…

A: Here use concept of total arrangement

Q: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: 5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected,…

A: Some of formulas of Permutation and combination n!=1·2·3..... ·n n!=n ·(n-1)! Prn=n!(n-r)! Crn=n!r!…

Q: 7. Suppose you have 15 CDs from which you choose 6 CDs to put in the CD player in your car. If you…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: 10. In how many ways can we select a group of 2 men and 3 women out of three men and four women…

A: Determine the number of ways in which 2 men and 3 women out of three men and four women can be…

Q: A computer operator must select 4 jobs from 10 available jobs waiting to be completed. How many…

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

Q: 3. A president and vice-president are chosen from a group of 8 people. How many different…

A: topic - permutation and combination

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the…

A:

Q: 3. (a) A Congressional committee of three is be chosen from a set of five Democrats, three…

A: Number of democrats is 5. Number of republican is 3. Number of independents is 4.

Q: 11. In the Colorado Power Ball Lottery you choose 5 white numbered balls from a group of 75 and 1…

A: In the colorado power ball Lottery you use a 5 white numbered balls from a group of 75 and 1 red…

Q: 2. A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker…

A: A deck contain 52 cards in whichh their are 4 suits and each suit contain 13 cards.

Q: 4. (a) In a group of 8 people, some of them shake hands. Is it possible that everyone shaked hands…

A:

Q: - A pollster randomly selected 4 of 10 available people. How many different groups of 4 are…

A: A combination is the arrangement of m items out of a list of n, where the order doesn't matter.  It…

Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

Q: 11. In how many ways can we seat 7 people at a round table with a certain 3 people not in…

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Q: 16. Five urns are numbered 3,4,5,6 and 7, respectively. Inside each urn is n? dollars where n is the…

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Q: The twenty-six students in a certain discrete mathematics class all live in one of three dorms on…

A: Given that The twenty-six students in a certain discrete mathematics class all live in one of three…

Q: 2.21 Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how…

A: Given: Number of sight seeing offered=6 Number of days of tour=3 Determine the number of ways in…

Q: a) None is left-hander b) Exactly one is left-hander c) Among 100 groups of ten girls, how many…

A: Here use binomial distribution because  Each trial is independent  Finite number of trial  There…

Q: 1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors…

A:

Q: Nine cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9​, then​ shuffled, and three…

A: We have cards marked with numbers from 1,2,3,4,5,6,7,8,9 We have to draw three cards without…

Q: A basketball team has 11 members. In how many ways can 5 players be chosen under each of the…

A: