All categories

3 years ago

Evaluate C(8, 8).01n8

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer: Second Option

C(8,8)=1

Step-by-step explanation:

We must calculate a combination

The combination $C (n, r) =\frac{n!}{r!(n-r)!}$

Where n is the number of elements that you can combine and you choose "r" from them.

C (8, 8) is the combination of 8 in 8.

Therefore

$n = 8\\r=8$

$C(8,8)= \frac{8!}{8!(8-8)!}\\\\C(8,8)=\frac{8!}{8!(0)!}\\\\C(8,8)=\frac{1}{1*1}\\\\C(8,8)=1$

The answer is the second option

You might be interested in

The amount paid for different weights of oranges at a farmer’s market are shown below. Pls help this is a unit quiz.

tankabanditka [31]

Answer:

7.50

Step-by-step explanation:

3 0

3 years ago

Need help with this explain

konstantin123 [22]

12,500 divide 1999, 12,500 divide 1998, etc hope this helps

5 0

3 years ago

Read 2 more answers

If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are

Mumz [18]

Answer:

If you subtract 4 from a, it will be greater than b

Step-by-step explanation:

Ok, so in order to solve this, it would be easier to substitute (a,b) into the equation:

b>a-4

Ok, next, you just have to work out each individual question to see which one is incorrect. You can immediately know it is the first one, and this is because we know that B is larger in this equation, but the problem says that subtracting 4 from a would be greater than b. This is incorrect, b is greater than 4-a, so the top left would be your answer.

Hope this helps!

6 0

4 years ago

Check

Westkost [7]

Answer:

I think it's the 3rd one

Step-by-step explanation:

because it makes sense

3 0

3 years ago

I don’t understand this.. <br> will someone please help? Will mark Brainliest along with 20 points.

inn [45]

To say two quantities $a$ and $b$ "vary directly" with one another means that a change in one of the quantities results in a proportional change in the other quantity. For example, if $a=2b$ , then $b$ is proportional to $a$ by a factor of 2, or $a$ is proportional to $b$ by a factor of 1/2. In other words, if you change $b$ by some fixed amount, then $a$ changes by double that amount.

Mathematically this means there is some constant scaling factor $k$ such that $a=kb$ . In question 4, we're told $f(x)$ varies directly with $x^2$ , which means there's some $k$ such that

$f(x)=kx^2$

We're given that $f(x)=40$ when $x=2$ , so

$40=k\cdot2^2\implies40=4k\implies k=10$

Then when $x=5$ , we get

$f(5)=10\cdot5^2=10\cdot25=250$

- - -

For $a,b$ to "vary inversely" with one another means that a change in one quantity results in an "opposite" change in the other. In other words, if $a$ increases, then $b$ decreases, and vice versa.

Mathematically, this is the same as saying there is some fixed number $k$ such that $ab=k$ .

For example, if $k=1$ and we start with $a=1$ , then $b=1$ also. If we change to $a=2$ , then $b=\dfrac12$ ; if $a=10$ , then $b=\dfrac1{10}$ , and so on.