A group of 16 people must select a president, a vice president, a secretary, a treasurer, and an auditor. In how many ways can be this done?

Q: How many permutations are possible with the letters TENNESSEE? If a student is to answer any 6…

A: Permutation is how many different ways are there for arranging n objects in r objects. where n>r…

Q: ) How many ways are there to select an unordered group of eight numbers between 1 and 25 inclusive…

A: a) The objective is to find that how many ways are there to select an unordered of eight number…

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: 6. The varsity soccer team has 20 players. Three of the players are trained to be goalies while the…

A: Given data : Total number of player = 20 Number of goal keepers =3  Remaining player = 17

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 the BS Lottery, players choose 5 numbers out of 30. They win if they choose the same 5 numbers as…

A: In the BS Lottery, players choose 5 numbers out of 30.

Q: 1. Fifteen students ask to visit the Office of Admissions of CSU. Each visit includes one student.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Suppose there are four voters: A with 11 votes, B with 6 votes, C with 7 votes, and D with 4 votes.…

A: Given:  there is a four voters; A with 11 votes , B with 6 votes, C with 7 votes, and D with 4…

Q: In how many different ways can 7 bicycles be parked if there are 5 available parking spaces? 2.…

A:

Q: 46. A student is given a reading list of ten books from which he must select two for an outside…

A: 46. A student is given a reading list of ten books from which he must select two for an outside…

Q: (a) In how many ways can we select 4 people from a group of 10 people and award them first through…

A: a) Since we want to give them awards by ranking, so here arrangement matters. We will have to use…

Q: 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many…

A: Permutations: A permutation of different objects taken r at a time is an arragement of r out of the…

Q: How many 3 letter words with or without meaning can be formed out of the letters of the word SWING…

A: Disclaimer : Since you have asked multiple question, we will solve the one question for you. If you…

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given: 1. You have been asked to judge an art contest with 20 entries. In how many ways can you…

Q: each is a permutation or a combination and then evaluate. 38. In how many ways can an investor…

A: The selection of elements without arrangement can be represented by a combination of elements. 38.…

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A:

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A:

Q: It's all about PERMUTATION - I'm how many different ways can 5 bicycles be parked if there are 7…

A: Given: n=7r=5 The number of ways 5 bicycles be parked in 7 available parking spaces is obtained as…

Q: 4. In how many ways can 10 different coloured beads be arranged in a bracelet? 5. Determine the…

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

Q: a) In how many ways can the letters in the word SUCCESS be arranged? b) In how many ways can the…

A: a) There is a total of 7 letters in the word SUCCESS. Among them 3 are S and 2 are U. So the total…

Q: Identify the following as Permutations, Combinations problems. (no need to solve) 1. In a race in…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: 15. A rug manufacturer has decided to use five co rug, only four spindles can be used. In…

A: Given that -A rug manufacturer has decided to use five compatible colors in her rugs. However, in…

Q: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

A: Given: Students are classified as freshmen, sophomores, juniors and seniors. Hence, number of…

Q: There are 100 people who are in the neighboorhood watch.  30 of them are between the ages 30-39, 20…

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

Q: Q5. (a) Enumerate all possible (1) combination and permutation of three letters chosen from the four…

A: The formulas for combinations and permutations are Cn,r=n!r!n-r!,  Pn,r=n!n-r! respectively.

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: (As per bartleby guideline for more than one question asked, Only one will be solved, Please upload…

Q: (a) In how many ways can the letters in the word COMPUTERS be arranged? (b) In how many ways can the…

A:

Q: Determine if each is a permutation or a combination and then evaluate. 37. In how many ways can a…

A:

Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted... Given…

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

A:

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

A: Given Data : Number of Piano CDs are 6                       Number of Trumpet CDs are 4…

Q: 11. Determine whether each of the following situations is a PERMUTATION or COMBINATION. 1.…

A: Here, we have to identify whether the situation is example of permutation or combination.

Q: Suppose a committee of 3 men and 2 women are to be selected from a group of 10 men and 12 women. How…

A:

Q: In how many ways can the position of president and secretary of an organization be  filled if…

A:

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

A: In this context, the total number of CDs interest by a student is 14(=3+6+5).a.The number of…

Q: A company has 6 officers and 5 directors (11 different people). In how many ways can a committee of…

A: We have to use , Combination formula : Combination is the selection of subjects in which order does…

Q: Determine whether the situation involves a permutation or a combination. Encircle your answer. 1.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

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

A:

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the…

A:

Q: 1. Find the number of distinguishable permutations of the digits of the number 3,283,882,432,599.…

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

Q: 2. In how many ways can the 5 Barangay Captains and 6 City Mayors be arranged in a row so that all…

A:

Q: A selection of items chosen from a group in which order is not important. O Permutation O…

A: 1) Permutation: The number of possible arrangements in a set when the order of the arrangements…

Q: D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice-…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-card hands are possible?…

A: Here  In standard deck  Total no of cards=52

Q: box containing

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

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a…

A: Here we will use the concept of Combination

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

A:

Q: In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as…

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.