9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select four non-defective laptops? а. b. How many ways can we select four laptops in which at least one of the laptops is defective?

Q: 4. How many committees of 4 men can be formed from a group of 10 Hiet

A: GivenNo. of men in a group=10

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

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Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

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A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

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Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

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Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

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Q: 1. In how many ways can the 10 candidates in the Ms. Universe win the Ms. Universe title, First…

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Q: 3. In how many ways can a team of six be chosen from 20 players so as to (a) include both the…

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Q: 36. In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, 5 Filipinos and 2 Italians be seated in…

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Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

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Q: 5. Suppose six pairs of similar-looking boots are thrown together in a pile. How many individual…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 7. In how many ways can seven men and six women be arranged in a row so that the women occupy the…

A: Given, In an arrangement,Total men=7Total women=6 To find: Total ways of arrangement so that women…

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

Q: 6. In how many ways be 5 couples be seated in a round table if each couple consists of a man and a…

A: 6) Given that,  There are 5 couples and they are to be seated in a round table such that each couple…

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

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

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Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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

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Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: In how many ways can you sit 8 people on a round table (a) if there are no restrictions? (b) if two…

A: Given: Total number people = 8

Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

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Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

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A: Given that n =8,r =3 using permutations

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on…

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students…

Q: (1) How many ways are there to pick a 5–person basketball team from 14 possble players? (ii) How…

A: In this question, we have to use the method of permutation and combination to answer the following…

Q: 9. In how many ways can three boys can be seated on five chairs?

A: In question, We'll find the ways in which three boys seated on five chairs. The solution is below,

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

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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: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Solution:There is 60 people in a surveylet xbe 25 theread Manila Bulletiny be 26 the read Philippine…

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: 3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals in…

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Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

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

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

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Q: How many different flag signals, each consisting of 7 flags hung vertically, can be made when there…

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

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Q: In a shipment of 22 smartphones, 3 are defective. How many ways can a quality control inspector…

A: Given that In a shipment of 22 smartphones, 3 are defective.

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

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Q: 2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of…

A: To find the ways in which the 3 cards can be drawn from the deck of 52 cards if the order does not…

Q: Consider a shipment of 50 laptops of which four are defective. B. How many ways can we select four…

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Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: 12. How many possible sets of four marbles include no more than 1 purple marble?

A: