Which of the following statements is true for permutations?

1 answer:

5 0

Permutations have a repeated pattern. it is like 16!. that means it is 16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1. and once you get that answer you have to do the bottom. so if you have 16!/5! then you can eliminate the 5*4*3*2*1 from both equations and you then get your answer

You might be interested in

A system of equations is given below:

algol [13]

The given system of equations is:

y = 4x − 3 ...(1)

2x + 7y = 41 ...(2)

Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.

So, if we will substitute y=4x-3 in equation (2) then we will get,

2x+7(4x-3)=41

Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.

4 0

2 years ago

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

3 0

2 years ago

Which of the following gives all of the sets that contain -1/2?

fiasKO [112]

ANSWER

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

$\frac{a}{b}$

where a and b are integers and b≠0.

The given number is

$- \frac{1}{2}$

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

$- \frac{1}{2}$
also belongs to the set of real numbers.

The correct answer is A.

3 0

2 years ago

What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32

Tatiana [17]

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

$\left|\begin{array}{c|c}$Powers of 2&Value\\2^{-5}&\frac{1}{32}\\\\2^{-4}&\frac{1}{16}\\\\2^{-3}&\frac{1}{8}\\\\2^{-2}&\frac{1}{4}\\\\ 2^{-1}&\frac{1}{2}\\\\2^{0}&1\end{array}\right|$