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ArbitrLikvidat [17]
3 years ago
13

In how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

1680 ways

Step-by-step explanation:

By using the formula for permutation, which is nPr=n!/(n-r)!,

8P4=8!/(8-4)!

=8!/4!

=8×7×6×5

=1680

Or if you just want to use the multiplication rule (which is simpler).

8×7×6×5=1680

You might be interested in
I need help urgently please!!!!! Will absolutely mark the brainiest whoever answers this correctly!
yulyashka [42]
If i plug it into my calculator i get 9914 as my answer,

Explanation:
but if that’s not the right answer lmk and i can solve it a different way!
5 0
3 years ago
You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straig
horsena [70]

Answer:

AC = 25\ miles

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

(AC)^{2}=(AB)^{2}+(BC)^{2}

Substitute AB = 7 and BC = 24 in above equation.

(AC)^{2}=(7)^{2}+(24)^{2}

(AC)^{2}=49+576

(AC)^{2}=625

AC = \sqrt{625}

AC = 25\ miles

Therefore, displacement of the car AC = 25\ miles

3 0
3 years ago
In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr
soldier1979 [14.2K]

Answer:

1.06 x 10^{10} (3sf)

Step-by-step explanation:

using compound interest formula A = P(1+\frac{R}{100}) ^{n}

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x 10^{9})(1 + \frac{5.9}{100}) ^{13} = 1.057 x 10^{10}

6 0
3 years ago
Total solar eclipses occur on a regular and predictable basis. One that could be viewed in parts of the United States occurred o
Ivenika [448]

Answer:

Step-by-step explanation:

The previous solar eclipse occured on March 7 , 1970 .

saros cycle has duration of 18 years , 11 + 1/3 days

So the earth goes 1 / 3 of its daily rotation beyond its previous location in the next solar eclipse on the earth . In order that we get solar eclipse on the same point on the earth , we shall have to wait for third solar eclipse

So total period of wait = 18 x 3 years + 11 x 3 + 1 = 54 years and 34 days

Date of next solar eclipse on the same spot = 1970 + 54 = 2024

7 th March + 34 days = April 10

likely date = April 10 , 2024 .

8 0
3 years ago
Select the correct difference. 5d 2 + 4d - 3 less 3d 2 - 2d + 4 2d2 + 2d + 1 2d2 + 6d - 7 2d2 + 6d + 7 -2d2 - 6d + 1
MA_775_DIABLO [31]
If you would like to solve (5d^2 + 4d - 3) - (3d^2 - 2d + 4), you can calculate this using the following steps:

(5d^2 + 4d - 3) - (3d^2 - 2d + 4) = 5d^2 + 4d - 3 - 3d^2 + 2d - 4 = 2d^2 + 6d - 7

The correct result would be <span>2d^2 + 6d - 7.</span>
8 0
3 years ago
Read 2 more answers
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