From a group of 10newly hired office​ assistants, 3 are selected. Each of these 3 assistants will be assigned to a different manager. In how many ways can they are selected and​ assigned? The office assistants can be selected and assigned in ___ different ways.

Q: How many permutations of a set five distinct objects taken three at a time are there?

A: Given:-                 How many permutations of a set five distinct objects taken three at a time…

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

A:

Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

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: 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: In a race in which nine automobiles are entered and there are not ties, in how many ways can the…

A: Given that the total number of automobiles=n=9 Given that there are no ties. The first finisher can…

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: assume that there 8 fire stations that need new chiefs and 12 qualified candidates In how many…

A: Given that, There are 8 fire stations Number of qualified candidates = 12

Q: Nine persons enter a lift from ground floor of a building which stops in 10 floors (excluding ground…

A:

Q: 5. How many 2-permutations are there of a set of eight objects?

A: We know that,  The formula pf permutations is,  nPr = P(n, r) = n!/(n-r)!

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

A:

Q: assume that there 8 fire stations that need new chiefs and 12 qualified candidates. In how many…

A: We have to find  number of ways..

Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

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

Q: how many different ways can a new car be ordered with regard to these​ options?

A: Here use combination for no.of different ways of new car can be ordered

Q: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: The number of possible permutations if r item are taken from n item isnpr=nn-r…

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: How many different strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

Q: How many different signals can be made using AT LEAST 4 distinct flags if there are 7 different…

A: Solution:  Different signals can be made using; AT LEAST 4 distinct flags if there are 7 different…

Q: In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: How many 4-permutations are there of a set of six objects?

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: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman…

A: From the given information, there are 6 men and 5 women. That is, the total number of persons is…

Q: In a group of 200 college students, 138 are enrolledin a course in psychology, 115 are enrolled in a…

A: The Venn diagram:

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

A:

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: 6. From a group of 9 men and 5 women, five persons are to be selected to form a committee so that at…

A:

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

A:

Q: PLEASE HELP, i really need to understand these questions before my finals. pleaseee?

A: The Pigeonhole Principle:  If there are n+1 objects and it is required to place then in n boxes then…

Q: An Uber XL can hold between 1 and 4 people. One September evening, 5 distinct and random people need…

A: According to the given information, An uber XL can hold between 1 and 4 people. On September evening…

Q: A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed…

A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

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: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

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 different arrangements are there for placing identical coins into three different piggy…

A:

Q: a person can order a new car with a choice of 6 possible colors,with or without air conditioning,…

A: The total number of choice of colours of new car = 6Total choice of air conditioning = 2Total choice…

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

A:

Q: A certain committee consists of 20 people. From the committee, a president, a vice-president, a…

A: Given : A certain committee consists of 20 people Now we have to choose a president, 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: How many people must be selected to guarantee that at least 4 have a birthday in the same month?

A: This is an application of pigeon hole principle. According to pigeon hole principle, if there are n…

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

A: Given Red marbles = 8 Blue marbles = 7

Q: There are 5 pocket holes at the periphery of a round horizontal platform. In how many ways can 5…

A:

Q: е. In how many distinct ways a strings “aaaabbbcc" can be ordered? f. In how many different ways you…

A: As per the answering guideline, we shall solve first question only. Please repost by mentioning…

Q: If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be…

A: The total given sophomores are 8 and 5 are the freshmen. Committee of members will be formed by 5…

Q: How many permutations can be made from the word CONVOCATION, such that all vowels must come…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

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.