answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
2 years ago
14

How many ways are there to seat six different boys and six different girls along one side of a long table with 12 seats? how man

y ways if boys and girls alternate seats?
Mathematics
1 answer:
GaryK [48]2 years ago
3 0
Q1: 479 001 600 ways

Explanation:
You have 12 people, 12 seats, ¹²P₁₂ ways in arranging them, or essentially 12! ways

Q2: 1 036 800 ways

Explanation:
Let's break it up into two cases.

Case 1: BGBGBGBGBGBG
Case 2:GBGBGBGBGBGB

Let's deal with case 1, because case 2 will pop out. There are ⁶P₆ ways in sorting out the boys and ⁶P₆ ways in sorting out the girls, so for case 1, we'd have (⁶P₆)² ways in sorting out boys and girls in case 1.

This is exactly the same in case 2, so it'd be (⁶P₆)² ways in sorting out girls and boys in case 2.

So, (⁶P₆)² + (⁶P₆)² ways = 1 036 800 ways if they alternate
You might be interested in
What percent of 20 is 30
Temka [501]
   30 x ( 20 / 100 )
= 30 x ( 1 / 5 )
= 30 / 5
= 6

Thank you very much.
3 0
2 years ago
Read 2 more answers
A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
2 years ago
Oil is leaking from a broken pipeline into a lake. In the first 10 minutes, 400 gallons of oil have leaked, covering 8000 square
serg [7]

Answer:

800 square feet per minute

Step-by-step explanation:

7 0
2 years ago
PLS HELP : A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and
kumpel [21]

Answer:

400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.

7 0
2 years ago
Read 2 more answers
Brian buys a computer for £4300. It depreciates at a rate of 3% per year. How much will it be worth in 6 years? Give your answer
aalyn [17]

Answer:

3526

Step-by-step explanation:

4300×3%=129

129×6=774

4300_774= 3526

4 0
2 years ago
Read 2 more answers
Other questions:
  • Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equati
    9·2 answers
  • When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?
    11·2 answers
  • HELP
    12·2 answers
  • Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produ
    13·1 answer
  • In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.
    15·1 answer
  • Diego has some money in his bank account before he starts a summer job. He deposits the money from the summer job in his bank ac
    15·1 answer
  • Tom went on a bike to the store 3 miles away. If it took Tom 1/2 of an hour to get there and 2/3 of an hour to get back , what w
    14·1 answer
  • Two commuters leave the same city at the same time but travel in opposite directions. One car is traveling at an average speed o
    14·1 answer
  • The manager of a supermarket records the waiting times of 100 customers.
    7·1 answer
  • Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest si
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!