Answered: Find the number of ways to distribute…

Math

Advanced Math

Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 53SE: Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can...

See similar textbooks

Related questions

Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

Q: Three years ago, Pete took out a loan of $55,000. The loan was taken out for 10 years with an…

Q: Solve the PDE by using the Laplace transform: ay/ax + xəy/dt = 3x² хду/дт ду/дх Assume that y(x, 0)…

A: We are given the following system. ∂y∂x+x∂y∂t=3x2y(x, 0)=0, x>0y(0, t)=0, t>0 Let…

Q: Solve the given initial-value problem. 1 0 2 2 X'= X, X(0) = - (²) 1 X(t) = 1 -- 2

Q: QUESTION 1. Consider the following data X 4 5 6 7 0.6 .65 0.74 0.78 Use forward difference formula…

A: We use Newton forward difference formula to solve the given problem.

Q: 1) Solve the right isosceles triangle, with longest side c = 1, A) in the Euclidean plane B) on the…

A: To solve the right isosceles triangle with longest side c=1 in the Euclidean plane. Since, in the…

Q: If 1.² FLX TRX f(x) dx = 12 and 24 X Enhanced Feedback Please try again. Remember, [² FOX f(x) dx. +…

A: Please upvote if you like the answer.

Q: Find the effective annual interest rates of the given nominal annual interest rates. Round your…

Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

Q: Isosceles trapezoid RSTU, with K as midpoint of RS, Las midpoint of ST , M as midpoint of TU , and N…

A: Given that An isosceles trapezoid RSTU, as given in fig.

Q: • Evaluat the integral:- 푼 S S. seč (cosx) dx dy Sin y

Q: Given: function f(x) with dom f = R \ {-1} lim_ f(x) =- 00, lim f(x) =+ 00, lim [f(x)-(1-x)] = 0,…

A: We know,f'(x) = 0 critical pointif f'(a) =0 and f'(x) > 0 for x < a and f'(x) < 0 for x…

Q: Cite real life situations and application of slope of a tangent line and derivatives in real life

A: Suppose an object is dropped from the top of a building which is 200 m high. And we know that it's…

Q: Let K be a Galois extension of F of degree pn where p is a prime. Show that there exist Galois…

Q: Question 6 Consider the following system à ax - bay, ý -cy + day, where a, b, c and d are strictly…

Q: The rank of a matrix A is the O a. dimension of the column space of A. dimension of the null space…

A: The rank of a matrix A is the

Q: (sinxy +xy cos xy) dx + x² cosx y d y = о

A: The solution is given as

Q: Find the unit tangent vector of the given curve. r(t) = (7t cos t - 7 sin t)j + (7t sin t + 7 cos t)…

Q: ut - 14uxx = 0 x>0 u(x,0) = 0 u(0, t) = 5

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√²-x-√x² + x)

Q: Define an operator T: fºº → f° by T(5₁) = (¹) # and bounded. for each (₁) E. Show that T is linear…

Q: Use Laplace transforms to solve the following initial value problem. x'' - 9x = 5t; x(0)=x'(0)=0…

A: Solution:-

Q: II. Find dy dx 2. y = Do not simplify your answers. tan ¹(cosh x) (sin²x) (sech x)sec a [use…

Q: Use Euler's method with step size 0.2 to estimate y(3), where y(x) is the solution of the…

A: Given that: y'=1−2xy, y2=0 To use the Euler's method with step size of 0.2 to estimate y(3).

Q: The matrix [-5 0 10 -201 A = 0 0 0 5 -5 0 10 -10 0 0 0 5 has two distinct real eigenvalues A₁ < A₂.…

Q: How many 3-letter 'words' (i.e. character str (used at most once) in the word 'catnip'.

A: to find different 3-letter words from given word

Q: e Va € R, if 1 ≤ a, then ³n € N, 2a + n n+1 <a

Q: Use the Laplace transform to solve the given initial-value pr y"+y= √2 sin(√2t), y(0) = 15, y(0) = 0…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 1. F = cos y i+ xyj + yk, A. i+j+(y-siny)k B. i+ (siny-y)k C. j-(2y-siny)k D. 3i5j + (sin y)k E.…

Q: Find all the values of such that the given series would converge. Answer: Note: Give vour answer in…

A: Given series is ∑n=1∞xnn+8

Q: 1 S p 2 9 real and pos ng relations

Q: H.W Sketch the region © * fxsny dx of integration & evalute the integral: له ولد * * * ©

Q: -40 (s+3)(s+4)

Q: 1 Consider the function f(x) = √x (a) Find the second-degree Taylor polynomial of f centered at a =…

A: Follow the steps.

Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y y = 0,…

Q: What is your 95% credible interval for the number of people who will be alive in the year 3000 CE…

Q: 20 year, 4.75% bond, with a yield of 4.755%

A: Bond Price = C x [1-{1/(1+r)n}]/r + M/(1+r)n M=Face Value = $1,000 C=Coupon Payment=$1,000 x 4.75 %…

Q: Determine in polar and Cartesian forms (a) [3/41°]* (b) (-2-)5.

Q: The Taylor series for f(x) = √2x − x² at a = 1 is Σno ²n (x − 1)". Find the first few coefficients.…

Q: Sketch the graph of f with emphasis on concavity. Label asymptotes with their equations and…

A: To sketch the graph of the function with the given detail. −∞,−1 -1 −1,1 1 1,2 2 2,3 3 3,∞ f'…

Q: Question 1 For the systems below, find and classify the critical points using linear stability…

A: 1. (a) Given system is dxdt=x2+y2-1, dydt=xy To Find and classify the Critical Points of above…

Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: I will only upvote if you meet the requirements 1) typewritten 2) complete solution 3) correct…

Q: (h) Suppose that G is an unconnected graph that consists of 4 connected components. The first…

Q: #1. Prove for all integers n, k, and r with n ≥ k ≥r that "CkxkC₁ = nCrx(n-r)C(k-r)

Q: Use Stokes's Theorem to evaluate F(x, y, z) = z²i+yj + zk S: z = √4x² - y2 F. dr. In this case, C is…

Q: Use the following binomial series formula to obtain the MacLaurin series for (a) - (1+x)6 k=0 (b) √…

Q: QUESTION 2 Mei has taken out a $95,000 mortgage that has an interest rate of 4.7%. If the loan is…

A: Given:Loan amount = $95,000 , Time = 15 years , Annual interest rate = 4.7%

Q: Question 1 For the systems below, find and classify the critical points using linear stability…

Question

Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many different skateboards can be constructed?
Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are comprised of 6 tulips, 6 roses, and 8 daisies?
A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
A rock group needs to choose 3 songs to play at the annual Battle of the Bands. How many ways can they choose their set if have 15 songs to pick from?
An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint pens are there to choose from?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?