1answer.
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
Alchen [17]
3 years ago
7

At the county fair, animals are judged for the quality of their breeding and health. The animal pens are arranged in an array, w

ith one animal in each pen. A barn can hold at most 10 rows of pens and at most 6 pens in each row, with room for people to walk around them. What different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn?
Mathematics
1 answer:
Shalnov [3]3 years ago
7 0

Answer:

36045979200 + 18595558800 + 8835488640 +...

Step-by-step explanation:

We suppose that we have 60 animals (between cows and horses) and we are going organize the animals in the pens in the indicated distribution.

First we selected six animals (of the set of 60 animals) for the first row through the combinatorial.

60C6 = \frac{60!}{(60-6)!6!} = 50063860

Now such as the order of the animals in each row matter, we must use a permutation, thus:

6P6 = 6! = 720

Then for the first row we have 720*50063860 = 36045979200 possibilities

The proccess for locating the animals in the other rows is similar only the amount of animal is decreasing, thus.

Second row :

54C6 = \frac{54!}{(54-6)!6!} = 25827165

25827165*720 = 18595558800

Third row:

48C6 = \frac{48!}{(48-6)!6!} = 12271512

12271512*720 = 8835488640

And the process continues until the ten row.

You might be interested in
Gears A and B turn together. Gear A turns 20 times when
Bingel [31]

Answer: Gear B turns 90 times when gear A turns 60 times

Step-by-step explanation: To solve this you just 30x3=90

7 0
3 years ago
What is the slope of the line y = 1?
Aloiza [94]

Answer:

The slope of the line y = 1 is zero.

5 0
2 years ago
Read 2 more answers
The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2^x. Determine which number represe
Katyanochek1 [597]
The answer is <span>C.) 2

The general form of formula is
y = a </span><span>• r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time

Let's compare:
</span>y =    a   • r^x
<span>y = 280 • 2^x

Since r = 2, the growth rate is C.) 2</span>
5 0
3 years ago
Read 2 more answers
Help help I need help bc I have to trun this thing in a min
Triss [41]

Answer:

the question????

Step-by-step explanation:

6 0
3 years ago
Given the diagram below if the measure of &lt;1 is 36° what is the
mina [271]

Answer:

144

Step-by-step explanation:

Because the horizontal lines are parallel <7 is the same as <4. Because <1 and <7 are on a straight line they must add up to 180. <7 + 36 = 180 so <7=144 so <1 is also 144.

7 0
2 years ago
Other questions:
  • Chrystelle has ham, turkey, and roast beef to use to make sandwiches. She also has apple juice and orange juice to drink. 1) If
    14·1 answer
  • What is 0.56 as a fraction
    11·1 answer
  • A piece of string 64cm long is divided into three pieces in the ratio of 1:2:5. Calculate the length of the longest piece.
    12·1 answer
  • Can someone try doing this plz
    15·2 answers
  • Miller's Steakhouse offers 8 side dishes, 5 types of steak, and 4 toppings. How many different smothered steak dinners can be ma
    5·1 answer
  • Someone please help i can’t find the answer.
    14·2 answers
  • What is the rate of return on a $5,000 bond purchased at $4,750 with a 12% coupon?
    13·1 answer
  • What type of sequence do these figures belong?​
    15·1 answer
  • Solve pls brainliest
    6·2 answers
  • you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original pric
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!