mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many different collections may be obtained from the machine, where each of the collections consists of a. 10 gumballs, at least 6 of which are red? b.) 20 gumballs, all of them green

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A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

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A:

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Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

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A: As there are 9 girls and 8 boys now if a team of 5 is to be selected.1) Number of different teams…

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A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A:

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

A: Given that, You have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

A:

Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: (a) How many ways are there to distribute seven identical apples and six identical pears to three…

A: Given: To distribute seven distinct apples and six distinct pears.

Q: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given Information:  Number of members in a group = 7  Number of men = 4  Number of women = 3

Q: From a standard deck of 52 cards, a hand of 7 is dealt. How many hands are possible that have: a.…

A: Selection or election or collection - all these imply combination. Let us suppose there are three…

Q: Assume that there are 105 students: 45 of which like rock, 52 of which like country, and 23 of which…

A:

Q: Suppose a 5-card hand is dealt from a standard deck of 52 cards. How many 5-card hands can be formed…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 8 is to be…

A: It is the question of permutation and combination. And the whole solution is shown below.

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A: Given information: The number of mangoes in the basket are n(M) = 3. The number of peaches in the…

Q: How many strings of Seven English letters are there A) That contains no vowels, if letters can be…

A:

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

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Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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

Q: A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra-large. If it has 2…

A: Given Information -  The clothing store has shirts in 4 sizes: small, medium, large, and…

Q: how many ways are there if a teacher has to select 2 students from a group of of four to represent…

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Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

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Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: The number people to be chosen for the subcommittee is 7. There are 7 democrats and 7 Republicans.…

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: a)How many four letter words including non-sense word can be formed from the word "BEAUTIFUL" if…

A: Given that  Word -   " BEAUTIFUL' Total alphabets in word = 9 Vowels = E , A , U , I , U = 5 vowels…

Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

A: (a). Identify the number of different ways to pick exactly 1 yellow ball: The number of red balls is…

Q: Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis.…

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Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be…

A: Given the question that, How many strings of eight English letters are there- a) that…

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are…

A: A Venn diagram is a pictorial representation of sets using circles or other closed figures inside a…

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…