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dlinn [17]
2 years ago
15

Help please zjyjytbrbbrbrb

Mathematics
1 answer:
Viktor [21]2 years ago
3 0

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You might be interested in
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
PEASE HELP ASAP!!! The sum of two numbers is 58.
agasfer [191]

Answer:

y=15

x=43

(any variable can be used, I used x and y to make it easier to show)

Step-by-step explanation:

x+y=58

x-y=28

get x by its self

x=58-y

then subsitute into the other equation

(58-y)-y=28

58-2y=28

-2y=-30

y=15

sub. again

x+15=58

x=43

8 0
2 years ago
Read 2 more answers
The sets F and H are given below.
Vinil7 [7]

Answer:

  F ∪ H = {c, d, e, f, g, h}

  F ∩ H = { }

Step-by-step explanation:

The union is the list of elements that are in either of the two sets.

  F ∪ H = {c, d, e, f, g, h}

The intersection is the list of only those elements that appear in both sets. (There are none.)

  F ∩ H = { } . . . . the empty set

4 0
3 years ago
Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon hav
AlexFokin [52]

Answer:

24

Step-by-step explanation:

Let n = number of sides

15n = 360

divide both sides of the equation by 15

n = 24

5 0
2 years ago
If answer is correct I will mark you as brainliest.
Sedbober [7]

Answer:

k\.

Step-by-step explanation:

4 0
2 years ago
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