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lubasha [3.4K]
2 years ago
6

comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or

false
Mathematics
2 answers:
ella [17]2 years ago
6 0
Let a set of n elements. 
We can find n! (factorial) of the n element. 
However, combination of the element lead to less than n! possibilities. 
(combining like adding or multiplying)
So the proposition is false. 
Illusion [34]2 years ago
3 0

Answer:

False; you would have more permutations than combinations.

Step-by-step explanation:

The formula for taking combinations of <em>n</em> objects taken <em>r </em>at a time is

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

The formula for taking permutations of <em>n</em> objects taken <em>r</em> at a time is

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

Comparing these two, we can see that the difference between the formulas is that the formula for combinations is divided by an extra r!.  Since it is divided by a larger number, it will result in a smaller answer; therefore permutations give more results than combinations.

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In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t
inessss [21]

Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

|p-72% |≤ 4%

⇒    72% - 4% ≤ p ≤ 72% +4%

⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

6 0
2 years ago
which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isoscel
GalinKa [24]

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

=

4 0
2 years ago
What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24
shusha [124]

The value of b is -6.

Explanation:

The expression is \left(y^{b}\right)^{4}=\frac{1}{y^{24}}

To determine the value of b, we shall solve the expression.

Applying exponent rule, \left(a^{b}\right)^{c}=a^{b c}, we get,

y^{4b}=\frac{1}{y^{24}}

Applying exponent rule, \frac{1}{a^{b}}=a^{-b}, we have,

y^{4b}=y^{-24}

The expression is of the form, a^{f(x)}=a^{g(x)} then f(x)=g(x)

Applying this rule, we get,

4b=-24

Dividing both sides by 4, we have,

b=-6

Hence, the value of b is -6.

4 0
2 years ago
Read 2 more answers
triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru
cluponka [151]

Answer:perpendicular bisector theorem

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.
Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

 2 a + b = 12   ----------------Equation 1

We have, she bought 3 more pens than pencils

  a - b = 3   ------------------  Equation 2

 Equation 1 +Equation 2,  

   2 a + b +  a - b = 12 + 3

                     3a = 15

                     a = 5

 Substituting in  equation

           5 - b = 3

               b = 2

 Number pencils Ava bought = 2

5 0
2 years ago
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