1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natasha_Volkova [10]
3 years ago
10

Give the difinition, formula, and example problem of permutation, combination & probability... please asap huhu I'll mark yo

u as the brainliest if can do this ​
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
7 0

Answer:

Answer:

Permutation:

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Formula:

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

Example:

Permutations are the different ways in which a collection of items can be arranged. For example, the different ways in which the alphabets A, B and C can be grouped, taken all at a time, are ABC, ACB, BCA, CBA, CAB, BAC. Note that ABC and CBA are not the same as the order of arrangement is different.

Combination:

In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.

Formula:

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

Example:

Combination: Picking a team of 3 people from a group of 10.

C(10,3) = 10!/(7! * 3!) = 10 * 9 * 8 / (3 * 2 * 1) = 120.

Probability:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Formula:

Conditional Probability P(A | B) = P(A∩B) / P(B)

Bayes Formula P(A | B) = P(B | A) ⋅ P(A) / P(B)

Example:

Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and its being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½.

Mariulka [41]3 years ago
5 0

<em><u>~permutation~</u></em>

Permutation is a term that in mathematics refers to several different meanings in different areas.

Permutation can be permutation with repetition and permutation without repetition.

nPr=

(n−r)!

n!

<em><u>~</u></em><em><u>Permutation</u><u> </u><u>without</u><u> </u><u>repetition</u></em><em><u>~</u></em>

Permutation means to combine the default elements in all possible ways so that each group contains all the default elements.

The number of permutations of a set of n different elements is equal Pn=n×(n-1)×...×2×1=n!

<em><u>~</u><u>Permutation with repetition</u><u>~</u></em>

If between n given elements there are k1 equals of one kind, k2 equals of another kind,..., ky equals of rth kind, we speak of permutations with repetition.

<em><u>~combinations without repetition~</u></em>

In many counting problems, the order of the selected elements is not important.

Each choice of r different elements of an n-member set determines one of its subsets that has r elements, we call it a combination of r-th class without repetition of n elements.

nCr=

r!(n−r)!

n!

<em><u>~combinations with repetition~</u></em>

Repetition combinations are combinations in which elements can be repeated.

<em><u>~Variations without repetition~</u></em>

A variation of the r-th class in an n-membered set is each ordered r-torque of different elements.

(We can determine this number using the principle of consecutive counting).

<em><u>~Variations with repetition~</u></em>

If the elements in ordered r-tuples can be repeated we are talking about variations with repetition.

(We can determine this number using the principle of consecutive counting).

You might be interested in
4x+1=5<br> Just a test have fun with free points!
ss7ja [257]

Answer:

x = 0.666(Repeating)

Step-by-step explanation:

4x+1=5

Subtract 1 from both sides

4x=6

Divide both sides by 4

x = 0.666(Repeating)

7 0
3 years ago
Read 2 more answers
Let W (a) = a^3- a^2 Find W (2)
grin007 [14]

Answer:

4

Step-by-step explanation:

plug in 2 for the a variables and you get 4 as the answer.

8 0
3 years ago
Given centerB with m∠ABD = 95 degrees
kirill [66]

Answer:

It would be the fourth one to me Yw

Step-by-step explanation:

8 0
3 years ago
Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.
polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

<u>Given:</u>

  • Before the deposit, her bank account balance is -25.36.
  • She has deposited $25.36 into her bank account.

<u>Solve:</u>

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0
2 years ago
There are no answer choices, if someone can solve this, I'd appreciate it. :)
Semenov [28]
Number of trees that are grew more than 3 feet = 10 + 35 = 45

Number of trees that grew more than 3 feet and is more than 50 yards away = 35

P(3 feet and more than 50 yards) = 35/45 = 7/9

Answer: 7/9
5 0
3 years ago
Other questions:
  • What is the the formula of the radius of the circle?​
    12·1 answer
  • Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per
    15·1 answer
  • Suppose​ that, when taking a random sample of three​ students' GPAs, you get a sample mean of 3.90. This sample mean is far high
    10·1 answer
  • How long is each wire?
    10·1 answer
  • Write the equation of the line that is
    9·1 answer
  • Convert 2.41 x 10^5 to a normal number
    10·1 answer
  • -3x+2≤-10
    8·1 answer
  • If the polynomial 6x6 – 4x5 + 9x – 6 is to be factored by grouping, which step should be taken?
    6·1 answer
  • 15.7 is what percent of 785
    13·1 answer
  • (x²+6)³ = 1000<br>what is X value? ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!