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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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On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to
lara31 [8.8K]
Set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
   2=2x
   x=1
Therefore the cost of 1 game is $1

4 0
2 years ago
Read 2 more answers
figure PQRS is a parallelogram. What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S =
viktelen [127]
I believe it is C (p=140 s=40)
4 0
1 year ago
Read 2 more answers
Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 ​ kg1, start fraction, 3, divided by, 7, end fraction, start
hichkok12 [17]

Answer:

1kg of salami cost $9.1

Step-by-step explanation:

Hailey paid $13 for 1 3/7 kg of sliced salami.

What was the cost per kilogram of salami?

Cost of 1 3/7 kg of sliced salami=$13

1 3/7 kg=10/7kg

Let x=1 kg of sliced salami

10/7 kg of x=$13

$13=10/7x

13=10/7*x

x=13 ÷ 10/7

=13×7/10

=91/10

=9.1

x=$9.1

Therefore, 1kg of salami cost $9.1

8 0
2 years ago
If e = 9 cm and f = 40 cm, what is the length of g?
rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.  

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0
2 years ago
Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how m
svp [43]

Answer:

Each gallon of primer will cover a maximum of 200 square feet

Step-by-step explanation:

The x-axis of the graph is the area to paint in square feet.  The y-axis of the graph is the number of gallons of primer needed.

We can see that 1 gallon of primer covers from 0 to 200 feet; 2 gallons of primer covers from 200 to 400 feet; etc.

This tells us that each gallon of primer covers a maximum of 200 square feet.

8 0
2 years ago
Read 2 more answers
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