Mathematics, 27.03.2021 22:50 luiscastaenda

A shipment of 12 television sets content to defective sets in how many ways can a hotel purchase five of these ads and receive at least two of the defective sets

Answers: 3

Show answers

Answers

Answer from: litjay98

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Step-by-step explanation:

P.S - The exact question is -

Given - A shipment of 12 television sets contains 3 defective sets.

To find - In how many ways can a hotel purchase 5 of these sets and receive at least 2 of the defective sets?

Proof -

We know that The combination of n distinct objects taken k at a time is

$^{n} C_{k} = \frac{n!}{k! (n-k)!}$

Now,

The number of ways hotel can receive 2 defective sets among 5 that can be purchased is

$^{9} C_{3} * ^{3}C_{2} = \frac{9!}{3! (9-3)!} \frac{3!}{2! (3-2)!}$

⇒ $^{9} C_{3} * ^{3}C_{2}$ = 84(3) = 252

Now,

The number of ways that hotel receives 3 defective sets among 5 that are purchased is

$^{9} C_{2} * ^{3}C_{3} = \frac{9!}{2! (9-2)!} \frac{3!}{3! (3-3)!}$

⇒ $^{9} C_{2} * ^{3}C_{3}$ = 36(1) = 36

Now,

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288

⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

A shipment of 12 television sets content to defective sets in how many ways can a hotel purchase fiv

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

Answer from: Quest

whatvare the choices

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:00

Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m

Answers: 2

Answer

Mathematics, 21.06.2019 21:40

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answers: 3

Answer

Mathematics, 22.06.2019 02:30

From a group of 10 men and 8 women, 5 people are to be selected for a committee so that at least 4 men are on the committee. howmany ways can it be done?

Answers: 2

Answer

You know the right answer?

A shipment of 12 television sets content to defective sets in how many ways can a hotel purchase fiv...

Questions