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Jobisdone [24]
3 years ago
13

Evaluate P(5, 2) 20 60 240 10

Mathematics
2 answers:
Sliva [168]3 years ago
8 0

Answer:

P (5,2) = 20

Step-by-step explanation:

First of all, we must understand two basic concepts:

A permutation is the variation of the order or position of the elements of an ordered set or a tuple.

The factorial function (symbol:!) Means that descending numbers are multiplied.

The formula to solve the permutation is:

\frac{n!}{(n-r)!}

where "n" is the number of things you can choose, and you choose "r" from them (it cannot be repeated, order matters).

In the given case ...

P (n, r) = \frac{n!}{(n-r)!}

Being n = 5, and r = 2

P(5,2)=\frac{5!}{(5-2)!}=\frac{5!}{3!}=\frac{5*4*3!}{3!}=5*4=20

P (5,2) = 20

-------------------------------------------------- ----------------------------

I hope this helps!

vesna_86 [32]3 years ago
3 0

P(5,2) =  n! /(n-r)!

n = 5, r = 2:

= (5 x 4 x 3 x 2 x 1 ) /  3 x 2 x 1

Cancel out common factors:

= 5 x 4 = 20

The answer is 20.

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What value of x and y will make the polygon a parallelogram?
o-na [289]
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5 0
3 years ago
48 m
g100num [7]

Answer:

Answer in terms of π=144π m^3

Answer by replacing π with 3.14 is 452.16 approximately 452.2m^3

Answer to the nearest whole no. is 452m^3

Step-by-step explanation:

volume \: of \: a \: cone =  \frac{1}{3} \pi {r}^{2} h

radius =  \frac{diametre}{2}

radius = 24

height = 18

slant \: height \:  = 30

first \: step

the \: exact \: volume \: of \: the \: cone \: in \: terms \: of \: \pi

v =  \frac{1}{3} \pi {r}^{2} h

\:  \:  =  \frac{1}{3}  \times \pi \times 24 \times 18

\:  \:  \:  =  \frac{432\pi}{3}

\:  \:  \:  = 144\pi

second \: step

approximate \: answer \: using \: 3.14 \: in \: place \: of \: \pi

144 \times 3.14

= 452.16

approximately \: 452.2

last \: step

answer \: to \: the \: nearest \: whole \: number

452 {m}^{3}

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Step-by-step explanation:

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