Ty's wardrobe consists of: • 10 unique shirts • 4 unique pants • 8 unique matched pairs of socks and • 2 unique pairs of shoes If Ty randomly assembles an outfit, how many different outfits are possible?

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: There are 52 cards in the standard deck of cards

Q: 6.) During an offer from GAIA Computers, a customer who purchased a computer and printer was given…

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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: How many ways are there to choose three cards from a standard 52-card deck without choosing any…

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Q: How many possible 5-card hands from a standard 52-card deck would consist of the following cards?…

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Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

A: We have to find the number of ways to arranging four keys on a key ring that has no clasp. Since the…

Q: 14.) New Breakfast Cereals. General Mills is testing 6 oat cereals, 5 wheat cereals, and 4 rice…

A: We have given that  Oat cereals = 6 Wheat cereals = 5 Rice cereals = 4

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: To find n(S), determine the number of ways to choose five-card hands from a pack of 52 cards.…

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: A car manufacturer offers a certain make of car with 4 extprior colors, 3 interior colors, and 6…

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Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first,…

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Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: (a) In how many ways can one component of each type be selected? ways (b) In how many ways can…

A: here AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REMAING   here from given information…

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…

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Q: How many permutations are there of the letters in the word 'PLANTS', if all the letters are used…

A: 6) The word 'PLANTS' contains 6 letters.

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 permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Q: 5. A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: A species is known to have 1) red, brown, black, or grey hair, 2) yellow or white sclera, 3) a pink…

A: For any particular phenotypic combination in the species,       For hair, 4 options are available.…

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: 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 food company is testing 5 chocolate chip cookies, 4 crackers, and 6 reduced-fat cookies. If it…

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Q: How many possible 5-card hands from a standard 52-card deck would consist of the following cards?…

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Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: In how many ways can a television director sched-ule a sponsor’s six different commercials during…

A: From provided information, a television director schedule a sponsor’s six different commercials…

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

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Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

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Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

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

A: topic - permutation and combination

Q: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 11 topping from which…

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

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Q: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?   B. Andersen…

A: total women = 10, selected =6 total men = 12, selected = 6   no. of ways = C610 x C612 =…

Q: In a certain general assembly , three major prizes are at stake . In how many ways can the first,…

A: Given :     In a certain general assembly, three major prizes are at stake.   To find : The number…

Q: Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of…

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Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: Complete task from image

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Q: box containing

A: There are three major prizes are at stake. To choose first, second, and third prizes be drawn from a…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

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Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

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Q: The Student Engineering Council at a certain college has one representative from each of the five…

A: Given information- We have given that in the Student Engineering Council each engineering majors…

Q: In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two…

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Q: How many permutations are there of the letters in the word 'CHARGES', if all the letters are used…

A: The formula for Permutation is nPr = n!/(n – r)!.

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 four-of-a-kind hand is a selection of five cards from a standard 52 card deck consisting of four…

A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…