Nine persons enter a lift from ground floor of a building which stops in 10 floors (excluding ground floor). If is known that persons will leave the lift in groups of 2, 3, and 4 in different floors. In how many ways this can happen?

Q: In how many ways can 2 children and 5 adults be seated in a row of the children must be seated at…

A: Given information: 7 people consisting of 2 children and 5 adults, are to be seated in a row.  It…

Q: In how many different ways can the letters of the word KNOWLEDGE be arranged in such a way that the…

A:

Q: Eight horses are entered in a race. In how many ways can the horses finish considering that at least…

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

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

A: Combinations: The combination is defined as the number of possible arrangements in a collection of…

Q: 2. Civil Engineers at a large convention are offered 6 construction tours on each of 3 days. In how…

A: Given : Number of tours = 6 Number of days = 3

Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A:

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: I have 8 different rings that I wear. How many different groups of 3 rings do I have to choose from?

A: the question is choosing 3 out of 8 and order doesn't matter So we going to use combination a…

Q: how many ways can you invite at least 7 of your 10 friends?

A: Given that  Total number friends (n) = 10 Number of friends to invite = At least 7    We know that…

Q: In how many ways can we select a committee of five persons from a group of five women and six men…

A:

Q: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

A:

Q: Ty's wardrobe consists of: • 10 unique shirts • 4 unique pants • 8 unique matched pairs of socks and…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A box contains 16 computer disks, 4 of which are known to have bad sectors. In how many ways can 3…

A:

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: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

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: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: eight are yellow. If five balls must be drawn from the box, in how many ways is this possible if 4.…

A: Given box contains 15 balls. Green balls = 7 Yellow balls = 8 Five balls are drawn from the box.

Q: A class has 35 students. In how many different ways can four students form a group for an​ activity?…

A:

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: 10. 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: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: In this problem order for the selection is not mentioned therefore we can use combination for award…

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: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

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: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

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

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: Let [A1, A2. [B1, B2, C1, C2 be 3 married couples who attended a concert in Windhoek. a) In how many…

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

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Q: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: 20 persons are sitting around a table. How many ways can we choose 3 persons, no two of whom are…

A: Obtain the number of ways of choosing 3 persons, no two of whom are neighbors. The number of ways of…

Q: In how many ways can 8 books be choosen from a group of nine?

A:

Q: 1. The school Reach team is attending an invitational tournament, but can only take the top five…

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Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

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Q: A host invites n couples to a party. She wants to ask a subset of the 2n guests to give a speech,…

A: Lets there be n number of couple. We will choose any number of couple and as there are two members…

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: A certain committee consists of 7 people. From the committee, a president, a vice president, a…

A: Solution: We need to choose a committe of a president , a vice president, a , a secretary, and a…

Q: How many groups can be formed from 8 studenta taking at least 2 at a time?

A: nCr=n!(n-r)! r !No of ways of selecting r from nis nCr

Q: A class has 32 students. In how many different ways can six students form a group for an activity?…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

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

A:

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: Twelve luxury cars (4 VW, 4 BMW and 4 Mercedes Benz) are booked by their owners for service at a…

A: We know that 4 cars can be serviced by the mechanic in 4! ways, but here we have 12 cars of which 4…

Q: committee of 5 students is to be selected from 14 students in a fraternity. In how many ways can…

A: Solution

Q: Complete task from image

A:

Q: Owners of a restaurant advertise that they offer 1,114,095 different lunches based on the fact that…

A: To explain: How the owner of a restaurant arrive to the number 1,114,095. Given: The owner have 16…

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…

A:

Q: A class has 32 students. In how many different ways can four students form a group for an activity?…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.