ignore the x’s it says 8 boys and 6 girls, also just a practice problem i’m having trouble with The next day the teacher decides to line up 5 boys and 5 girls again out of the 8 boys and 6 girls.If a child was not lined up the day before then that child will be in the lineup today. How manydifferent lineups can the teacher make? Pr9) A teacher has boys and girls in a class. The teacher picks 5 boys and 5 girls to line them up inrow. The teacher decides that no children of the same gender shall sit next to one another.How many different lineups can the teacher make?

Answered: Image /qna-images/answer/0c4b782f-df60-4d01-ae93-0c735c6c2bf3.jpg

A teacher has & boys and girls in a class. The teacher picks 5 boys and 5 girls to line them up in row. The teacher decides that no children of the same gender shall sit next to one another. How many different lineups can the teacher make?

A teacher has & boys and girls in a class. The teacher picks 5 boys and 5 girls to line them up in row. The teacher decides that no children of the same gender shall sit next to one another. How many different lineups can the teacher make?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...

See similar textbooks

Related questions

Q: Show solution using Heaviside function

Q: If you want to have a million dollars 40 years from today, how much should you invest in your…

Q: Suppose that F ⊂ K ⊂ E are fields and E is the splitting field ofsome polynomial in F[x]. Show, by…

A: Let us consider three fields, Q⊂Q23⊂Q23,ω where ω=cos2π3+isin2π3. we see that…

Q: 0.6 (6) Using Newton-Cotes open type mid point rule, evaluate (i) fe 0 e-² / da (ii) 0.5 1 1+x (7)…

Q: ent of acceleration and the principal ovided.

Q: Let u = (-4, 8) and = (-10,0) Then proj= and perp help (vectors) =

Q: 1) For each of the pairs of sets in 1-3 determine whether the first is a subset of the second, the…

A: We know the definition of subset of set, Set A is said to be subset of B if all the elements of the…

Q: (8) Using Romber integration, evaluate 1 1+x² dr taking h= 111 2'4'8 in the composite Trapezoidal…

A: Given : I=∫0111+x2dx , h=12, 14, 18 To Find :Romberg integration Note : According to the…

Q: T(x1,x2) = (6x1 - 8x2, -5x1 + 7x2) Show that T is invertible and find a formulafor T^-1

Q: 3x Use "intersect" on the GC to solve (round answer to 4 decimal places): x³ - 7x² + 5 = −³+8 32+8

Q: 1. Use the method of undetermined coefficients in section 3.5 to find the form of a particular…

Q: Let P(x) denote the statement that log(x3) s 8 (where x is an integer). Determine whether the…

Q: 5. Write an equation for the line described in standard form and then graph the equation.…

Q: Approximate the following integral (cos x)2 dx using Gaussian quadrature with n = 2, 3 and 4. Also,…

A: Given the integral is ∫0π4cosx2dx

Q: Determine the root/s of the mathematical expression shown below f(x) = cos x + 2 sin x + x2 Use…

A: Given : fx=cosx +2sinx+x2 , -0.1 , 0 To Find : Roots of given equation by secant method

Q: Section 2.6 1. Consider the production model x = Cx+d for an economy with two sectors, where 0 0.5]…

Q: Maximize p= 2x + y subject to x+2y ≤ 10 -x+ys≤7 x+y57 x20, y 20. D (x, y) "

A: The feasible region of the given constraints shown below: Clearly OABCO is the feasible region,…

Q: How are reflections and translations similar? How are they different?

Q: 5. If X={a,c,g} anc Σ={{a}, {a,g} {c,g}}, what is T(E)? A. T(E)= {Ø, {a}, {g}, {a,c}, {a,g}, {c,g},…

Q: 12. f(t) = 0, t, 0, t > 2. 0≤t<1, 1< t < 2,

Q: j LIT of the initial 2x dy dx value p = y + 2x cos(x); y(1) = 0

A: Solution to the differential equation

Q: C2 c₂ such that Then we have f(x) 0.

Q: Alexander owes the bank P25,000.00 due in 1 year, P75,000 due in 4 years and P30,000 semi-annual…

Q: x f(x) g(x) f'(x) g'(x) 1 2 3 1 - 2 2 3 1 - 4 3 3 1 2 - 3 - 1 suppose, h(x) = f(g(x)) so, h'(1) =…

Q: The price of a condominium is $146,000. The bank requires a 5% down payment and one point at the…

Q: ii) Consider the equation E: y = 16 - x². Note that the course pack provided to you in any form is…

Q: Hart Manufacturing makes three products. Each product requires manufacturing operations in three…

A: Note: According to our guidelines, we can answer only three subparts and the rest can be reposted.…

Q: QUESTION 3 Determine using a truth table whether p→ (q→ r) and (p → q) - p T T T T F F F F q T T F F…

Q: use a graphing utility to graph each function over the indicated interval. Approximate any local…

A: Note:- In this problem function and interval is not clear. If function or interval is something else…

Q: 3. Use the method of undetermined coefficients in section 3.5 to find the general solution of the…

Q: The circle graph shows a breakdown of spending for the average household using 365 days worked as a…

Q: Give the domain and range of the relation using the graphs below. + 1 4 a. b. C. eli 10

Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

Q: Find all primes of the form 22" + 5, where n is a nonnegative integer.

A: We need to find all primes of the form 22n+5. Here n is non negative integer. Let fn=22n+5 Prime…

Q: 5. Determine whether or not the initial value problem dy dx has a solution. Is the solution unique?…

Q: solve parts 4-8 and write out the full equation for Option 2 bc im not really understandings option…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Use PMT= P י | כ to determine the regular payment amount, rounded to the nearest dollar. The price…

Q: (e) Evaluate L.F. F. dr.

A: Given : F=ycosxy , xcosxy , -sinz , rt=cost , sint ,3+sint To Find : ∫C F·dr

Q: 1. Use the method of undetermined coefficients in section 3.5 to find the form of a particular…

Q: Find an equation of the tangent plane to the parametric surface Ř(u, v) = : ((u — sin u) cos v, (1 −…

Q: Problem List Next xo = 17, revenue(16) = 42, revenue (17) = 31, revenue(18) = 23, and x₁ = Give the…

A: Given: x0=17, revenue(16)=42, revenue(17)=31, revenue(18)=23, and x1=7. (a) To Write: The formula of…

Q: Find the directional derivative of f(x, y, z) = 4x² + 5y² + 4z² at the point (3, 4, -3) in the…

Q: Graph the trigonometric function. Then give the Xmin and Xmax values for the viewing window [Xmin,…

A: If the graph of y=f(x) is reflected about the x axis, we obtain the graph of y=-f(x). The vertical…

Q: uppose the price function is Price(q) = 10300*0.780.119 +0.11q. Find the quantity that minimizes…

Q: Question 8 Find the distance between the plane 3x + 4y - 12z = 78 and the origin.

Q: Problem8. Letfg,:I→R2 begivenby f(x) = (0, x), g(x) = (1, x). a. Specifyahomotopyh:I×I→R2 fromf…

Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

Q: Solve for A 10. A= 5-2 1 2

Q: (c) Calculate the curl of F.

A: using the formula for curl of an vector and using definition of determinant we can find the…

Question

ignore the x’s it says 8 boys and 6 girls, also just a practice problem i’m having trouble with

The next day the teacher decides to line up 5 boys and 5 girls again out of the 8 boys and 6 girls.
If a child was not lined up the day before then that child will be in the lineup today. How many
different lineups can the teacher make?

Pr
9) A teacher has boys and girls in a class. The teacher picks 5 boys and 5 girls to line them up in
row. The teacher decides that no children of the same gender shall sit next to one another.
How many different lineups can the teacher make?

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

Solution

Solution ctd.

Solution ctd

Solution ctd

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends.
DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the number of ways of choosing two objects from ten objects is the same as the number of ways of choosing eight Objects from ten objects. In explain Why c(n,r)=c(n,nr)
In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?
In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?
A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage motorcycles. How many ways can the shop choose 3 choppers, 5 bobbers, and 2 café racers for a weekend showcase?