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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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The ratio of boys to girls in ms.​ zombo's class is 33 to 22. in mr.​ stolarski's class it is 55 to 33. if there are 15 students
Aloiza [94]
Zombo's class is 33:22 or 3:2
Stolarski's class is 55:33 or 5:3
15 students in Zombos
9 boys 6 girls
32 students in Stolarski
20 boys 12 girls
Together is 29 boys and 18 girls
29:18 boys to girls
4 0
2 years ago
What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0
2 years ago
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9 ? pls
GREYUIT [131]

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

4 0
2 years ago
You coordinate volunteers for litter cleanup in local parks. Your spreadsheet lists drivers
rodikova [14]

Answer: it’s S - D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The average sea level in 1900 at London bridge was 33 feet. In 1990 it was 33.08 feet. Use linear interpolation or extrapolation
eduard

Answer:

In 1956, the height will be 33.05 ft

Step-by-step explanation:

Let +x+ = number of years after 1900

Calll 1900 +x+=+0+

Then 1990 is +x+=+90+

Let +y+ = height in feet

--------------------------

You are gven the points

( 0, 33 )

( 90, 33.08 )

Use general point-slope formula

+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+

Multiply both sides by +90x+

+90%2A%28+y+-+33+%29+=+.08x+

+90y+-+2970+=+.08x+

+90y+=+.08x+%2B+2970+

+y+=+.000889x+%2B+33+ ( equation to use )

--------------------------

Check:

does it go through ( 90, 33.08 ) ?

+33.08+=+.000889%2A90+%2B+33+

+33.08+=+.08001+%2B+33+

+33.08+=+33.08001+

close enough

-------------------------------

(a)

+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+

+y+=+.000889%2A61+%2B+33+

+y+=+.0542+%2B+33+

+y+=+33.0542+

In 1961, the height will be 33.05 ft

8 0
2 years ago
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