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2 years ago

Of 19 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take?

Mathematics

1 answer:

mash [69]2 years ago

7 0

Answer:

27132

Step-by-step explanation:

Assuming the order does not matter, since it will always be a mixture of the same 6 books, we can calculate a combination for these outcomes.

The combination formula is:

nCr = n! ÷ (n-r)!r!

, where ! represents factorials, n represents the total number of items, and r represents the number of items being chosen.

So 19! ÷ (19-6)!6! = 19! ÷ 13! • 6!

19 • 18 • 17 • 16 • 15 • 14 ÷ 6 • 5 • 4 • 3 • 2

= 27132 different combinations of the 6 books.

If you use a calculator, find nCr, plug in 19 for n, and 6 for r.

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xxTIMURxx [149]

Answer:

Step-by-step explanation:

To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.

I hope this helped.

3 0

2 years ago

What is the general form of the equation for the given circle?

Tom [10]

Hhhhhhhhahahahahahahahahahahaahabahahah 4.7

4 0

2 years ago

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

inn [45]

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

3 0

2 years ago

Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon

Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min= $\frac{1}{60}$ hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

$\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min$ ...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

$\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min$ ...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

7 0

2 years ago

Estimate 307% of 29.

aleksley [76]

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

6 0

2 years ago

Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?

Of 19 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take?