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lubasha [3.4K]
1 year 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]1 year 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]1 year 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.

You might be interested in
Three friends are playing catch. Zoe is in a straight path 12 feet to the west of alex. Jin is in a straight path 9feet to the n
Tanzania [10]

Answer:

15 ft

Step-by-step explanation:

This problem can be represented by a right angle triangle, shown in the diagram below.

The distance between Jin and Zoe is the hypotenuse of the triangle, x.

According to Pythagoras theorem,

hyp² = opp² + adj²

Where opp is the opposite side and adjacent is the adjacent side to any angle of consideration (which is not important in this case)

Hence:

x² = 12² + 9²

x² = 144 + 81

x² = 225

Finding the square root:

x = 15 ft

Jin and Zoe are 15 ft apart.

4 0
2 years ago
Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
SpyIntel [72]
Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.
4 0
2 years ago
TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th
VMariaS [17]

Answer:

  WS=8\ units

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}

we have

TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units

Find the value of TS

\frac{TU}{TR}=\frac{TW}{TS}

substitute

\frac{3}{9}=\frac{4}{TS}

TS=36/3=12\ units

WS=TS-TW

WS=12-4=8\ units

see the attached figure to better understand the problem

3 0
1 year ago
Read 2 more answers
Describe the relationship between the values of the digits in the number 9,999,999
Rama09 [41]

9(millions), 9(hundred-thousands)9(ten-thousands)9(thousands), 9(hundreds)9(tens)9(ones).

3 0
2 years ago
Read 2 more answers
The sum of 6 consecutive even numbers is <br> 270.<br> What is the second number in this sequence?
KonstantinChe [14]
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
4 0
1 year ago
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