Mr. Arboreta wants to plant fruit trees in a rectangular array. For each of the following numbers of​ trees, find all possible numbers of rows if each row is to have the same number of trees.   a. 196 b. 12 c. 11 d. 144

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 that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: (a) In a certain state, license plates have two letters followed by four digits. How many such…

A: a) There are 26 letters (A-Z) and 10 digits (0-9) Numbers and letters can repeat. We can pick 2…

Q: A family with three children are to pose for a family picture in a row. la) In how ways can they be…

A: Given Information: A family with three children are to pose for a family picture in a row.  (a) In…

Q: 1. Larry had 1/3 as many balls as Andy. Andy gave 8 balls to Larry so that they would each have the…

A:

Q: A committee of 5 people is to be elected from a group of 7 men and 9 women. (a) How many distinct…

A: 4 (a) There are totally 16 people out of which 7 are men and 9 are women. The committee should…

Q: Q/22 A college planning committee consist of 3 freshmen, 4 sophomores, 5 juniors, and 2 seniors.…

A:

Q: A college debate team is participating in a tournament in state A. They will fly from state B to…

A: The number of flights form B to C - 2 C to D - 7 D to A - 3 The possible number of ways from B to…

Q: Given M1 = −5, s1 = 4.6, n1 = 72, M2 = − 1, s2 = 3.3, and n2 = 60, calculate t.

A:

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: 5b A committee of 8 members is to be formed from a group of 7 women and 5 men. i.) Calculate the…

A:

Q: Because of her work schedule, Molly Kay plans to take classes at 8:00, 10:00, and 11:00. Five…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: A tailor owner has 10 new pants that he wants to display in the window. If the display window has 4…

A: The number of new pants are 10.

Q: access code for the entrance of a faculty office consists of five digits. Each digit can be 0…

A:

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

A:

Q: Solve the following: 13) A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many…

A: As per our guidelines we are suppose to answer only three subparts GivenNo.of green balls=5No.of…

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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: There are 10 guests (1 is the host) in a conference. In how many ways can he accommodate his guests…

A: total number of guest =10 number of ways  person can arrange in circular table is (n-1)!

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can…

A: Given: Total number of children=10Number of boys=6Number of girls=4 The number of ways of selecting…

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: If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many ways are…

A: Given Information: Number of tennis balls = 100. Number of bags = 40.

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A:

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

A:

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls, how many color arrangements are…

A: A box contains 8 red balls and 8 green balls and 8 blue balls  The objective is to find the number…

Q: a. If mMY =115 and mPY=72, what is mzD? b. If mzD = 35 and mMY = 167, find mPY. c. If mPY = 81 and…

A: The given diagram is

Q: MR=5(a+9) and MP=13a+42

A:

Q: Professor Bartlett teaches a class of10 students. She has a visually challenged​ student, Louise,…

A:

Q: How many ways are there to distribute A x Bx C blue balls to 4 people Muslum, Orhan, Ferdi, and…

A: Total number of balls = AxBxC The balls are to be distributed to 4 people. Ferdi and Bergen get no…

Q: If n(A) = 62, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: t the Harris Burger Bar each customer designs their own burger by choosing: one from two types of…

A: Solution: Given information: The customers designs their own burger by choosing: one from two types…

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

A:

Q: H.W. a) In how many ways can 3 boys and 3 girls sit in a row? b) In how many ways can 3 boys and 3…

A: As per the Bartleby guideline if more than three subparts is asked only first three to be answered…

Q: How many possible ways can a housewife take to buy a book from a bookstore, then buy groceries from…

A:

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

A:

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A television director has to schedule commercials during 6 time slots allocated to commercials…

A: Answer: Using the given data,

Q: c. There are ten teaching assistants available for grading papers in a calculus course at a large…

A: n=10   r=4 (since 4 question are there and we will choose 4 teaching assistant as only 1 assistant…

Q: There are 7 different roads between town A and town B, 4 different roads between town B and town C,…

A: There are 7 different roads between A and C, 4 different roads between B and C and 2 different roads…

Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

A: The given word is GRATEFUL. Find the following values: There are no restrictions? The first letter…

Q: A certain restaurant prepared meals during the pandemic for the first-responders. If they prepared 5…

A: We will construct a linear equation according to the given conditions and will solve it. Given that…

Q: ssume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select…

A: Given that  Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will…

Q: shops as there are delis in a town, how many coffees shops are there if there are a combined 24…

A:

Q: 02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are…

A: Given that, 20 students and the dean came to the cinema and want to sit in the same row, in which…

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A:

Q: Suppose you need to enter a 4 digit code to enter a room. d How many such codes have exactly 1…

A: Question (d): Since no other condition is given, we consider we can use any of the ten digits…

Q: f 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: In the first part who gets what meal is not specified, there are 9 people, therefore 9 people can…

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.