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
Alinara [238K]
1 year ago
8

Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa

ys can she choose 8 photos she wishes toeventually display? Show your work.B.In how many ways can she arrange all 12 photos? Show your work.c. If Rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the12 photos? Show your work.
Mathematics
1 answer:
Mariana [72]1 year ago
6 0

A.

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

C(n,p)=\frac{n!}{p!(n-p)!}

For n = 12 and p = 8, we have:

C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495

So there are 495 ways.

B.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600

There are 479,001,600 ways.

C.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

You might be interested in
Plz help I'm halfway through the lesson​
Solnce55 [7]
3.5555555556 / the third one
5 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 5
joja [24]

Answer:

I need info

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A surfboard has an original price of $259. It is on sale for 55% off the original price.
grin007 [14]
I'm not sure what answer you need for this question?
original price: 259
sale: 55% off
55%=0.55
so 259×0.55=142.45
142.45 is the 55% of the original price
259-142.45=116.55
116.55 is the price after sale.
hope this would help. (*^ω^*)/
5 0
3 years ago
Read 2 more answers
Is it A. B. C. or D.
podryga [215]
Your answer would be b i'm pretty sure

5 0
3 years ago
This is hard so i put more points and uhm this is stupid -w-
MAVERICK [17]

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do u do these 4 I need to make them a decimal
    13·1 answer
  • Mitch is buying candy bars for his friends. He wants to give 2 bars to each friend, and he wants to have 10 spare bars. He can a
    13·1 answer
  • What is 3.536 as a radical?
    8·2 answers
  • (Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of t
    15·1 answer
  • Find the missing angle​
    7·1 answer
  • Tn=2n-5n, find t7=<br> A)93<br> B)21<br> C)75<br> D)54
    14·1 answer
  • 6x+6=-5+3x+17<br><br> I need help
    14·1 answer
  • The figures are similar. Find each missing measure.
    13·2 answers
  • What is the arc length of a semicircle with a radius of 14?
    12·1 answer
  • Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!