(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 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 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

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

A:

Q: a) How many 8-letter permutations can be made from the word TRIANGLE if the first letter must be A…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: In how many ways can a boy arrange his 5 different toys in a row?

A: Given that : To find In how many ways can a boy arrange his 5 different toys in a row?

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: (a) How many ways can the letters of the word BECOMING be arranged in a row? (b) How many ways can…

A:

Q: On a Friday morning, the pro shop of a tennis clubhas 14 identical cans of tennis balls. If they are…

A: Let 'n' be the number of days on which tennis balls were sold and 'k' be the number of cans of…

Q: How many ways can the letters of the word MAILBOX be arranged in a row so that  M and A Not…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

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: The number of possible permutations if r objects are taken from n items is nPr =________.

A:

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: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Answer:

Q: In how many different ways can the letters of the word wombat be arranged?

A: The number of ways n distinct objects can be arranged is equal to n! . The value of n! is calculated…

Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: Given: A contractor builds homes of 9 different models and presently has 3 lots to build on.

Q: In how many ways can 7 children and 6 mother be arranged in a row so that:  No two children are sit…

A:

Q: A computer user has downloaded 25 songs using an online file-sharing program and wants to create a…

A: Here, we have to determine how many different permutations of 10 songs are possible from a set of 25…

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

A:

Q: A computer user has downloaded 15 songs using an online file-sharing program and wants to create a…

A: Given that the computer use has downloaded 15 songs using an online file-sharing program and wants…

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: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…

A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…

Q: Hello. How do I set up and work out this problem?

A: Given information:The total number of balls is 8.The number of black balls is 4 and the number of…

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

Q: A baseball fan has a pair of tickets for six differenthome games of the Chicago Cubs. If he has five…

A: It is given that, A baseball fan has a pair of tickets for six different home games of the Chicago…

Q: 2. In how many ways can 6 students be seated in d row of 6 seats if 2 of the students insist on…

A: Note: As per our company guideline we are supposed to answer only one question. Kindly repost other…

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

A:

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

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

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be…

A: Given: Number of seats = 8

Q: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: A question is given with 3 parts. The solution is given below.

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: toys of the same material type must be grouped together;(B)rubber toys should not be next to each…

A: Here 3 paper toys, 7 rubber toys, and 5 plastic toy so total 15 toys

Q: How many ways can four of the letters of the word MAILBOX be selected and written in a row if the…

A:

Q: With a group pf five men and five women, how many ways can they be arranged in a row if men and…

A: Given that  Number of women = 5 Number of men = 5