1 samples of different sweets are on display as customer leave a store, they are told that they   can choose any 4 samples. How many different selections can a custome make?   The following day 5 more coffee samples are given to choose from.Customers are told they can  take 4 sweet samples from the 11 samples of sweet and 2 coffee samples from the 5 coffe samples. How may different selections does the customer now make

Q: A box of 15 spark plugs contains three that are faulty. In how many ways can 4 spark plugs be…

A: As per our guidelines we are suppose to answer three sub parts.  Given,Total no.of plugs=15no.of…

Q: | st 5. There are 10 horses in a race. In how many ways can one pick the top three finishers (1st…

A: 3 horses can be selected out of 10 in 10C3=120 ways. Therefore one can pick top three finishers in…

Q: 2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be placed…

A: Given that, 2.  10 books be arranged in a shelf & one of them is a bible and it must be placed…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A:

Q: 1. How many three person committees can be chosen from a group of six people? 2. Dylan, Andrew,…

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Q: You have 6 marbles that are all different colors. You select 3 of them at random. How many different…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: You are randomly selecting your friends to go with you to dinner. You can bring 3 friends, but you…

A: In this question it has been asked to find out the probability of choosing 7 friends who will not be…

Q: 7) From a club of 21 people, in how many ways can a group of four members be selected? 8) A…

A: According to the question-answer guidelines the expert suppose to answer only three sub parts.

Q: Sana throws a pizza party. She has ordered different pizzas which include, 8 Chicken pizzas, 10…

A: According to the provided data, there are 8 Chicken pizzas, 10 Vegetable pizzas and 12 Beef pizzas…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given No. of colors = 4 ( i.e, Red, Blue , Green & Purple)a) Arrangement of elements in a…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: Elvis has 12 close friends. How many different combinations of 5 of them may be invited for dinner…

A: 1) Given two of them are dating.   If I want to invite the couple then I can invite those 2 in 1…

Q: a restaurant offers 2 different flavours of coffee 3 different soup selection. in how many ways can…

A: Two step multiplication principle: Assume that a taskcan be broken up into two consecutive steps.…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different…

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2…

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

Q: In how many ways can we select 5 cards that should be composed of 2 Kings and 3 Jacks from a deck of…

A: a) Step 1: Total number of kings and ace cards                                      =4 Number of…

Q: Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and…

A: The 4 colors are red, blue, green and purple and the number of colors chosen 3.

Q: Mrs. Welch and her 7 children are shopping at a local grocery store. Each of the children will be…

A: Mr Welch and her children are shopping at a local grocery store.each of the children will be allowed…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: A student wants to rent some movies from Blockbuster each from a different genre. She has to choose…

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

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 5 CDs…

A:

Q: he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to…

A: Given Number of zinfondel bottles z=11 Number of Merlot bottles m =7 Number of cobernet bottles c=13…

Q: There are 10 candidates for a job. a. How many ways can we pick 2 of the candidates for the same…

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Q: 8 members of a wedding party are lining up in a row for a photograph. (1) How many ways are there to…

A: There are 8 members. They have to stand in a line for photograph. To find: a) Number of ways,…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

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Q: Suppose we select 3 students randomly out of a class of 10 students to read a paper from the…

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Q: SCUBA club consists of 9 divers with advanced certification and 6 with just a basic certification.…

A: given that Advance certificate=9 Basic certificate=6

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: 10) If a man can select one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes, how…

A:

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: Given 1 box = 48 chocolate Groups of 11 to be put

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

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: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

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Q: In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent…

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Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

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Q: In how many ways can we choose 5 students from 7 boys and 5 girls?

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Q: How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only…

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Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

Q: A bagel shop has a selection of 8 different kinds of bagels (at least 10 of cach). ( .1) How many…

A: Given, A bagel shop has a selection of 8 different kinds of bagels. At least 10 of each.

Q: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

Q: How many ways can a local chapter of the American Chemical Society Schedules 3 speakers for 3…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: rom the 7 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 4…

A: It is given, Number of male representatives is 7, Number of female representatives is 6, A team of 8…