In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior members if the team must consist of 4 senior members and 2 junior members?

Answers

Answer 1
Answer:

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

4 students are to be selected from senior members while 2 from junior members;

The number of ways is calculated as thus;

Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members

Ways = ^(10)C_4 * ^(12)C2

Ways = (10!)/((10-4)!4!)) * (12!)/((12-2)!2!))

Ways = (10!)/((6)!4!)) * (12!)/((10)!2!))

Ways = (10 * 9 * 8 * 7 *6!)/((6! * 4*3*2*1)) * (12*11*10!)/((10!*2*1))

Ways = (10 * 9 * 8 * 7)/(4*3*2*1) * (12*11)/(2*1)

Ways = (5040)/(24) * (132)/(2)

Ways = 210 * 66

Ways = 13860

Hence, the number of ways is 13860 ways


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Answers

Answer:

please dont blame me if i get this wrong this is what i put.

Step-by-step explanation:

Using the following 3 equations, answer the questions:

11x + y =4, x+y = -2, x - 2y = 18

How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?

you can determin which is eiser to graph by wether or not they have numbers infront of the x and y intercepts.  i find it mutch eiser if they allready have the numbers there. its also eiser to graph 11x + y =4 and x - 2y =18 on a slope intercept rather than table of values because you allready can find the points for those two eiser than the last one which would be used on the table of values.  for the problem x+y=-2 you would use x and y intercepts. for 11x+y=4, rewriting in slope form is the corect method to use. and finaly use the table of values method for x-2y=18.

Which method works best for you personally? When does it not work as well?

the one that i find works best for me personally is probably gonna be the slope intercept method as apposed to many other methods. it doesnt work all the time because nothing can but normaly when i have a problem with this method i can just go to the table of values method and get the answer. (sorry if this is wrong this is what im putting for my answer. dont copy and paste this though if u do desiede to use it, read it and turn it into your own words so its not obvious you found the answer on the internet. and tbh i didnt read the lesson i just am ok at comming up with answers useing the question and getting away with it. )

I just need number 1

Answers

b is the awnser

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.

Problems1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer

Answers

Answer:

7

Step-by-step explanation:

You must divide 28 by 4 which equals 7.

Suppose you are asked to choose a whole number between 1 and 13, inclusive. (a) What is the probability that it is odd? (b) What is the probability that it is even? (c) What is the probability that it is a multiple of 3?

Answers

a. this depends on if 1 and 13 are included. If so, it would be 7 of 13. If not, 5 of 11
b. same thing, depends on if 1 and 13 are included. If so, 6 of 13. If not, 6 of 11
c. again, depends. If so, 4 of 13. If not, 4 of 11

Consider a specific chemical reaction represented by the equation aa + bb → cc + dd. in this equation the letters a, b, c, and d represent chemicals, and the letters a, b, c, and d represent coefficients in the balanced equation. how many possible values are there for the quantity "c/d"?

Answers

We are usually concerned with one reaction. That is, the production of one specific set of products from a specific set of reactants.

The number of values of c/d would be the number of possible ways that a and b could recombine to form different pairs of products c and d. (You might get different reactions at different temperatures, for example. Or, you might get different pars of ions.)

Usually, the number of values of c/d is one (1). (Of course, if you simply swap what you're calling "c" and "d", then you double that number, whatever it is.)

A total of 600 advertisements were sold for a certain magazine. If 30 percent of the first 200 sold were in color, 20 percent of the next 300 sold were in color, and 90 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?

Answers

Answer:

%35 of them were in color

Step-by-step explanation:

Since 30 percent of the first 200 sold were in color, 200x30/100 = 60 of them were in color.

Since 20 percent of the next 300 sold were in color, 300x20/100 = 60 of them were in color.

Since 90 percent of the last 100 sold were in color, 100x90/100 = 90 of them were in color.

In total, 60 + 60 + 90 = 210 out of 600 were in color.

The percentage is:  (600)/(100) = (210)/(x) → x = (21000)/(600) = 35

Final answer:

To find the percentage of advertisements that were sold in color, divide the number of color ads by the total number of ads and multiply by 100. We get answer 35.

Explanation:

To find the percentage of advertisements that were sold in color, we need to find the number of color advertisements in each group and then calculate the percentage.

  1. For the first 200 ads, 30% were in color, so the number of color ads is 0.3 * 200 = 60.
  2. For the next 300 ads, 20% were in color, so the number of color ads is 0.2 * 300 = 60.
  3. For the last 100 ads, 90% were in color, so the number of color ads is 0.9 * 100 = 90.

The total number of color ads is 60 + 60 + 90 = 210. To find the percentage, we divide 210 by 600 and multiply by 100.

So, the percentage of advertisements that were in color is 35%.

Learn more about Percentage Calculation here:

brainly.com/question/329987

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