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
tino4ka555 [31]
3 years ago
5

Just carpet has eight different quality grades of carpeting. Three types are being selected for a corporate test on durability.

how many different samples of size 3 can be taken without replacement? how many different samples of size 5 can be taken without replacement?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:

C(N, K) = \frac{N!}{(N - K)!*K!}

Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:

C(8, 3) = \frac{8!}{(8 - 3)!*3!} = \frac{8!}{5!*3!} = \frac{8*7*6}{3*2} = 56

So there are 56 different samples.

Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.

C(8, 5) = \frac{8!}{(8 - 5)!*5!} = \frac{8!}{3!*5!}  = 56

Again, we have 56 different samples.

You might be interested in
Express 10 2/3 in simplest radical form
worty [1.4K]
<h2>Hey there! </h2><h2>\bold{Formula: \dfrac{a \times c + b}{c}}</h2><h2>\bold{10\dfrac{2}{3}=}\bold{\dfrac{10\times3+2}{3}}</h2><h2>\bold{Solving\ for\ your\ numerator\downarrow}}\\\\\bold{10\times3+2=?}\\ \bold{10\times3=30}\\ \bold{30+2=32}</h2><h2>\bold{b=32\leftarrow numerator}\\\\\\\\ \bold{c =3\leftarrow denominator}</h2><h2>\boxed{\boxed{\bold{Answer: \dfrac{32}{3}}}}\huge\checkmark</h2><h2>Good luck on your assignment and enjoy your day!</h2><h2>~\frak{LoveYourselfFirst:)}</h2><h2 /><h2 />
8 0
3 years ago
Find the sum. 2/5 + 1/2​
dybincka [34]
2/5 + 1/2

4+5 / 10 • look for the LCD of 5 and 2
which is 10 then 5 goes 2
times into 10 the multiply by 2
= 4. Then 2 goes 5 times into
10 then multiply by 1 = 5.

Therefore the sum of 2/5 + 1/2 =9/10
5 0
3 years ago
Read 2 more answers
John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?
dimulka [17.4K]
Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4
3 0
3 years ago
Find the unknown number. Enter your answer in simplest form.<br> 9/10 - ? = 1/2 ?
lord [1]

Answer:

well its 2/5

Step-by-step explanation:

because its 4/10 but you wanted to simplify it so its 2/5

brainlist? its the crown btw

8 0
2 years ago
Read 2 more answers
Find y so that (-2, y) is a solution to 3x + 5y=8​
podryga [215]

Answer:

y = \frac{14}{5}

Step-by-step explanation:

Substitute x = - 2 into the equation and solve for y

3(- 2) + 5y = 8, that is

- 6 + 5y = 8 ( add 6 to both sides )

5y = 14 ( divide both sides by 5 )

y = \frac{14}{5}

5 0
3 years ago
Other questions:
  • Need help plz show work<br>step by step
    5·1 answer
  • A fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour. The fisherman will keep fishing for two
    11·1 answer
  • What is the written form of the decimal number .954?
    14·2 answers
  • A bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour .If the bakery had 246 bagels to start wi
    13·1 answer
  • 6 out of 18 in a fraction
    12·2 answers
  • Which number is larger? (1 mark)<br><br> 0.67 or<br> 2/3
    11·1 answer
  • Is 1/9+1/8 closer to 0.5 or 1/2? explain.
    6·1 answer
  • On a coordinate plane, what is the distance between the points (-1,5) and (2,5)? Enter the answer in the box.
    10·1 answer
  • How are statistical questions different from other questions?​
    5·1 answer
  • A hydrogen atom has one positively charged proton and one negatively charged electron.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!