(d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of possible arrangements of all the letters in a row without repetition
Q: A class has 28 students. In how many different way can four student form a group for an…
A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4
Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…
A: We have given that the team is formed of 25 members and the prizes be awarded. Permutation…
Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…
A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…
Q: Suppose we want to choose 5 letters, without replacement, from 14 distinct letters. (a) If the…
A: To find : If the order of the choices matters, how many ways can this be done?
Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…
A: Number of choosen letters (r) = 6 Total number of letters (n) = 8 Consider a situation where r…
Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if: All boys and girls are…
A: Given, 3 boys and 3 girls To find, In how many ways can we arrange them if all boys and girls…
Q: Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…
A: #Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…
Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…
A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…
Q: In how many different ways can the director of a research laboratory choose two chemical engineers…
A:
Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…
A: Solution:In this problem we want to choose letters, without replacement, from distinct letters.(a)…
Q: There is a drawer with a total of 7 socks in it. Four (4) socks are blue and three (3) socks are…
A: Four (4) socks are blue and three (3) socks are yellow
Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…
A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…
Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…
A: a. b. c.
Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…
A:
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: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…
A: here use counting principle
Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…
A: Given that the baseball manager has 12 players on his team but only nine players can play on the…
Q: A class has 30 students. In how many different ways can four students form a group for an activity (…
A: Determine the number of ways in which four student’s forma group for an activity. The number of ways…
Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…
A:
Q: A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are…
A: Here Given there are total 22 items produced during shifts and 19 are non defective and identical…
Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…
A: Given information: There are total 9 people arrange themselves in a line to receive service from a…
Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…
A: Permutation and combination are the techniques for estimating the number of ways of selecting the…
Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…
A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…
Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…
A: Number of ways of selecting 6 people of committee from the group of 20 people will be:
Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…
A:
Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…
A: The bag contains =6 marbles number of marbles drawn=4
Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…
A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.
Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…
A: given data, we want to choose 2 letters, ,without replacement letters A,B,C,D and Ewe have to…
Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…
A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…
Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…
A: GivenNo.of downloaded songs(n)=23no.of songs to use in CD player(r)=8
Step by step
Solved in 2 steps with 2 images
- A salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson schedule all of these meetings in five available time slots?. Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these books and arrange them, in order, on hisnightstand bookshelf?(b) In how many ways can he choose four of these books to take with him on his vacationat the shore?In how many ways one can select a group of three students out of 6 boys and 4girls. If a group contains: (a) two boys and one girl (b) two girls (c) At most one boy.
- Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a trip. (a) How many different outfits can Jack make with these items? (b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could wear both a dress shirt and a sweater, how many outfits could Jack make? (a) Jack can make (Type a whole number.) different outfits with these items. (b) Jack can make different outfits with these items. (Type a whole number.)In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each other?Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and g. Three of the seven representatives are to be selected to attend a statewide convention. How many ways are there to select the three officers? To solve this I have uploaded a picture of how the notes are shown. My question is how they get the 7!/3!4!? where does 3! and 4! come from? Thanks.
- Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single bookshelf. How many distinguishable ways can Bob do this?How many arrangements of letters in INSTRUCTOR have all of the following properties simultaneously? (i) The vowels appear in alphabetical order. (ii) At least two consonants between each vowel. (iii) Begin or end with the 2 Ts (the Ts are consecutive). everything must be metIn how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about if the boys and girls sit alternately?
- If you have six books, but there is room for only four books on the shelf, in how many ways can you arrange these books on the shelf?Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?