5

Collection of 30 sales ussociates are sent; OlG t0 6 different clients throughout the city: Location will require: € sales associutes acl sitilarly B require...

Question

Collection of 30 sales ussociates are sent; OlG t0 6 different clients throughout the city: Location will require: € sales associutes acl sitilarly B requires %, € requires D requires 8 E requires F #nd requires sales ussociates How many Way"s the sales ussocintes be sent out to tlie difFerent clients?

collection of 30 sales ussociates are sent; OlG t0 6 different clients throughout the city: Location will require: € sales associutes acl sitilarly B requires %, € requires D requires 8 E requires F #nd requires sales ussociates How many Way"s the sales ussocintes be sent out to tlie difFerent clients?



Answers

Sales Schedules A salesperson has the names of 6 prospects.
a. In how many ways can she arrange her schedule if she calls on all 6?
b. In how many ways can she arrange her schedule if she can call on only 4 of the 6?

This store sells 20 different classical CDs and 30 different jazz CDs. We get to pick three of each. So how many different ways can this be done? Recall from the chapter. The multiplication principle, also known as the fundamental principle of counting the states that if there are any ways to do one thing and k ways to do another, the total number of ways that both things can be done is end times K. So the number of ways that we can pick our three classical CDs times the number of ways we can pick our three jazz CDs will give us the total number of ways that we can pick our CDs. For the classical ones, there are a total of 20 and we're choosing three. So he is the combination 20 Choose three and then for the Jazz. We do the same thing, but it's 30. Choose three, that is, there are 30 options were picking three, so that's the number of ways we can pitch pick each separately. Then we just have to multiply them together to get the total number of things we can pick. That is the total number of CD combinations now this can be solved by hand, like any combination, but the answer is so extraordinarily large that I would not recommend it. Instead, I suppose recommend you can plug into your calculator where you would get an answer of 4,628,400 different ways in which you could buy these CDs. So this is the answer. There are over four million ways to buy three C's from each category.

Okay, so the moving company has nine trucks and they need to use six of them. And the problem doesn't give any indication that it matters which truck goes to which customer. So we're just gonna choose any six of the nine trucks, and that's a combination problem, since order doesn't matter. So we have 9 to 6. If you're working that out by hand, you're going to have nine factorial divided by nine minus six factorial times six factorial. And if you need to expand that to figure it out nine factorial will be nine times eight times seven times, six times, five times, four times, three times two times one and the denominator nine minus six. Factorial is the same as three factorial. So that will be three times two times one and then six factorial six times, five times, four times, three times, two times one. You might not have to multiply all that out yourself because your calculator probably has the buttons for combinations and factorial sze. But here we are working it out. And what you could notice is that from the top of the bottom, we can cancel the six on down 65432 and one was all cancel. That leaves us with nine times eight times seven, which is why before divided by three times two times one, which is six. And when you divide, you end up with 84. So the company has 84 different ways to choose to use six of their nine trucks.

In this problem above wants to buy eight posters from 20 posters on. He wants to keep those eight posters with him. We conducted as able straight man like 20 See eight. This just looks like N c. R. That is number off combinations. We can make it from those. Statement and c are equal in factorial Do it and by and minus r factorial in tow. R factorial. Now we will substitute the values off and on are in a bow. Expression in factory is trendy Factorial, derided by and minus spot is when d minus eight factories into eight factorial 20 factorial. We can write it as 20 in tow 19 into 18 into 17 into 16 into 15 into 14 into 13 into 12. Fact total in denominator 20 minus eight is 12 factorial into eight Factorial. Now you will can self olfactory in numerator and denominator 20 into 19 into 18 into 17. The 16 into 15 in 14 and do 13 directed by eight Factorial that is 18 to seven into six in tow. Fire into four in tow, three into two into one. When we simplify about numerator and denominator, we will get want to fight 97 genital so a buyer can select one to find 97 Jiro vase off posters

20 cells people are getting new cars are many ways. Are they assigned CX 58 in one off such costs to his? So let's see how it goes. So were quote 20 cars and one distribute them. I didn't kill me. It's It's five eight, six lies one we she's equal to a couple of beer. 20 Victoria cleanly sectorial decided by six. Tell me all divided by five, uh, define live aids, Tonio. Also the also six mile eight is there 17 680 ways.


Similar Solved Questions

5 answers
Rali 2019 college Algebra CRN 83869Homework: Homework Section Score: 0 of 1 pt 5.3.21 Write the partial fraction decomposition of the following rational _ expression: 4x +18 (x-9)2 4x +18 (x-9)2
rali 2019 college Algebra CRN 83869 Homework: Homework Section Score: 0 of 1 pt 5.3.21 Write the partial fraction decomposition of the following rational _ expression: 4x +18 (x-9)2 4x +18 (x-9)2...
5 answers
2 2 and (quzod j4 (2)f rectangles that mnake 5 on the each interval approximation. [1, Calculate 2 LA. pue 2 Sketch the 1
2 2 and (quzod j4 (2)f rectangles that mnake 5 on the each interval approximation. [1, Calculate 2 LA. pue 2 Sketch the 1...
5 answers
Points) The integraldx converges for p in xP(State your answer as an interval):Evaluate the integral for those values of p: K 1dx XP(Your answer will depend on p):
points) The integral dx converges for p in xP (State your answer as an interval): Evaluate the integral for those values of p: K 1dx XP (Your answer will depend on p):...
5 answers
Which product fortns this Suzuki reaction?Pdlplal NeOH11. Which type of sigmatroplc arrangement occurs In the following 0eection? [1,5] [3.3] Claisen rearrangement [3,3] Cope rearrangement[2.31Which Fishet projection [ Ihe cOrrect represcniation of {ne 3-D perspeclive drawwing below?OHch.oHCH-OHLaCHOChOCH-OcHOH
Which product fortns this Suzuki reaction? Pdlplal NeOH 11. Which type of sigmatroplc arrangement occurs In the following 0eection? [1,5] [3.3] Claisen rearrangement [3,3] Cope rearrangement [2.31 Which Fishet projection [ Ihe cOrrect represcniation of {ne 3-D perspeclive drawwing below? OH ch.oH C...
5 answers
20.~/2 points0/5 Submissions UsedFind an equation of the tangent line to the graph of the function at the given point: 5x+3 (2, 13) X -1
20. ~/2 points 0/5 Submissions Used Find an equation of the tangent line to the graph of the function at the given point: 5x+3 (2, 13) X -1...
5 answers
Start wlth a circle of radlus r=6 Form the two shaded regions pictured below: c(0) of these two regions wlll be functlons of 0; r Is fixed In the problem:t(0(a) Find a formula for Area(c(0)) = 180 9 sin ( 20)(p) Area(t(0)) = | 18 sin 0( 1 cos( 0)lim Arca (& (O)) F (mlim Arca (t (O1)Jit (e) e" [Area(c(0))/ Area(t(0))]=
Start wlth a circle of radlus r=6 Form the two shaded regions pictured below: c(0) of these two regions wlll be functlons of 0; r Is fixed In the problem: t(0 (a) Find a formula for Area(c(0)) = 180 9 sin ( 20) (p) Area(t(0)) = | 18 sin 0( 1 cos( 0) lim Arca (& (O)) F (m lim Arca (t (O1) Jit (e)...
5 answers
Skcich Ile rugion inlegratian, reverse the 'ordor of integration anduralualg ituqta IJWhat [s an equlvalent doutle integral wih the order intcgralon ergod? PA
Skcich Ile rugion inlegratian, reverse the 'ordor of integration anduralualg ituqta IJ What [s an equlvalent doutle integral wih the order intcgralon ergod? PA...
4 answers
A mordant binds the fabric through(a) coordinate bonds(b) covalent bonds(c) ionic bonds(d) H-bonds
A mordant binds the fabric through (a) coordinate bonds (b) covalent bonds (c) ionic bonds (d) H-bonds...
5 answers
Sketch the OC curve for a sampling plan having a sample size of 10 and an acceptance number of $0 .$
Sketch the OC curve for a sampling plan having a sample size of 10 and an acceptance number of $0 .$...
2 answers
Use the graph of f(z) to evaluate the following:Check Giveayetag 1 nswer 3 an of change 01 oroeduced Fraction
Use the graph of f(z) to evaluate the following: Check Giveayetag 1 nswer 3 an of change 01 oroeduced Fraction...
1 answers
Let $f(x)$ be an increasing function with inverse $g(x)$. Explain geometrically: $$ \int_{0}^{a} f(x) d x+\int_{f(0)}^{f(a)} g(x) d x=a f(a) $$
Let $f(x)$ be an increasing function with inverse $g(x)$. Explain geometrically: $$ \int_{0}^{a} f(x) d x+\int_{f(0)}^{f(a)} g(x) d x=a f(a) $$...
5 answers
Question 262 ptsWhich if the following is predicted to have the highest = bolling point? CH;CH OCH,CH; CH;CH,CH,CI CH;(CHS CH; ICH;CH;OH
Question 26 2 pts Which if the following is predicted to have the highest = bolling point? CH;CH OCH,CH; CH;CH,CH,CI CH;(CHS CH; ICH;CH;OH...
1 answers
The position of a particle is given by the function $x=$ $\left(2 t^{3}-9 t^{2}+12\right) \mathrm{m},$ where $t$ is in $\mathrm{s}$ a. At what time or times is $v_{x}=0 \mathrm{m} / \mathrm{s} ?$ b. What are the particle's position and its acceleration at this $\operatorname{time}(s) ?$
The position of a particle is given by the function $x=$ $\left(2 t^{3}-9 t^{2}+12\right) \mathrm{m},$ where $t$ is in $\mathrm{s}$ a. At what time or times is $v_{x}=0 \mathrm{m} / \mathrm{s} ?$ b. What are the particle's position and its acceleration at this $\operatorname{time}(s) ?$...
5 answers
Of 20 computers was attacked by computer virus. This virus 3.21, A lab network consisting 0.4, independently of other computers: Find the enters each computer with probability probability that it entered at least 10 computers.
of 20 computers was attacked by computer virus. This virus 3.21, A lab network consisting 0.4, independently of other computers: Find the enters each computer with probability probability that it entered at least 10 computers....
5 answers
{ 1 8f9 0- 6 3 8 1 0 [ 3 2 2 2 1[f?2e2le[ 3 a/8 2/8 L
{ 1 8f9 0- 6 3 8 1 0 [ 3 2 2 2 1 [ f ?2e2le[ 3 a/8 2/8 L...
5 answers
Solve by graphing: (If there is no solution, enter NO SOLUTION. Use the parameters x and Y as necessary: ) 3x - 2y
Solve by graphing: (If there is no solution, enter NO SOLUTION. Use the parameters x and Y as necessary: ) 3x - 2y...
5 answers
05 : JuWneleainonu-sinav-Ims almscloud net~Qurip ALMSI5uludanum} Aeuis 5r7nDiff: Eq: And Appl: - Ara SinavWhich of the following is solution of the equation dr ~y-Jx _0 ?(€ Is an arbitrary constant )I) y = 01I) ! =- e1 + ce-I""-4Nane 0l teseBos birak
05 : Ju Wnelea inonu-sinav-Ims almscloud net ~Qurip ALMS I5uludanum} Aeuis 5r7n Diff: Eq: And Appl: - Ara Sinav Which of the following is solution of the equation dr ~y-Jx _0 ? (€ Is an arbitrary constant ) I) y = 01 I) ! =- e1 + ce-I ""-4 Nane 0l tese Bos birak...
3 answers
Asyslem consists Ol thrct pIrtich m; = Itq mlh coordiates ( } 4J; Mz= Jk9 wth conrdinates (1, Jm and mj-2kg wth coordimtes @~Zm the system totates In Ihc % plne about > aris wh agular mkxxrily Zr0d thc rotationsi Kneik etiqy (n )ot tie system isSekrtone6. 1550162
Asyslem consists Ol thrct pIrtich m; = Itq mlh coordiates ( } 4J; Mz= Jk9 wth conrdinates (1, Jm and mj-2kg wth coordimtes @~Zm the system totates In Ihc % plne about > aris wh agular mkxxrily Zr0d thc rotationsi Kneik etiqy (n )ot tie system is Sekrtone 6. 155 0162...

-- 0.020000--