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3 years ago

What is the number of possible permutations of 8 objects Taken 3 at a time

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

The answer is 336 because since combinations are a way to calculate the total calculations so the answer is 336.

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The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.

Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

$n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760$

b) How many of these delegations have all men?

$n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4 \\n_{men} = 60480$

c) How many of these delegations have at least one woman?

$n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280$

4 0

4 years ago

5,126 divided by 12 with remainder

pantera1 [17]

The Answer is 427.1666

6 0

3 years ago

Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p )

Arisa [49]

The evaluation of the expression, if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p ) is 46.

<h3>How can the expression be simplified?</h3>

the given expression is t = − 2 | 16 + 4 ( 3 q + p )

Then since we are given m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5

Then, we can substitute all the given values of the terms into the given expression as :

t = − 2 | 16 + 4 ( 3 q + p )

t= -2 I 16+4(-18+2)

t= -2 I 16+4(-16)

t= -2 I 16 -64

t= -2 I -48

t =46

Read more about expression at:

brainly.com/question/723406

#SPJ1

4 0

1 year ago

A hemisphere has an area of 256 pi cm^2. What is its volume?

Amanda [17]

$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
\\\\\\
\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
\\\\
-----------------------------\\\\$

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad r=radius
\\\\\\
\textit{a hemisphere is half that}\\\\
V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
\\\\\\
V=\cfrac{2\pi r^3}{3}
\\\\\\
\textit{now, we know the radius is }8\sqrt{2}\implies V=\cfrac{2\pi (8\sqrt{2})^3}{3}
\\\\\\
V=\cfrac{2\pi (8^3\sqrt{2^3})}{3}\implies V=\cfrac{2\pi \cdot 512\cdot 2\sqrt{2}}{3}
\\\\\\
\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}$

7 0

3 years ago

Help Me!!

iogann1982 [59]

check the picture below.

so we know Bethany's payrate, her slope is 11.75, namely $11.75/hr, for for every hour, she makes 11.75 bucks.

now, let's use those red-circled points, to get Grant's slope, and therefore his payrate,

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{38.70})\qquad 
(\stackrel{x_2}{7}~,~\stackrel{y_2}{90.30})
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{90.30-38.70}{7-3}\implies \cfrac{51.6}{4}\implies 12.9$

low and behold, Grant makes 12.90 or 12.9 bucks every hour.

well, Bethany does 11.75 hmmm what's their difference?

12.90 - 11.75

1.15

so 12.90 is greater than 11.75 by 1.15, meaning, Grant makes 1.15 bucks more every hour than Bethany.

6 0

3 years ago