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

$9 for 6 pounds How much for 1 pound?

hram777 [196]

Answer:

1.50

Step-by-step explanation:

8 0

3 years ago

Simplify the expression.<br> 11z - 11z

Yuliya22 [10]

Answer:

0=0

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through

damaskus [11]

the answer is 65 degrees because the line in the middle is a 180 degree angle and 180-115=65. hope this helps :)

4 0

3 years ago

Read 2 more answers

The principal represents an amount of money deposited in a savings account subject to

RSB [31]

Step-by-step explanation:

So the general formula for compound interest is $A = P(1+\frac{r}{n})^{nt}$ where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just $A = P(1+r)^t$ . in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula $A = 11000(1.05)^t$ . This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be $11000(1.05)^t-11000$ . To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation $11000(1.05)^5 \approx 11000(1.276) \approx 14,039.10$