<h3>Answer:</h3>
There are 40,320 ways, in which 8 books can be arranged on a shelf.
<h3>Solution:</h3>
Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
- If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .
<u>Permutations </u><u>:</u>
- A permutation is an arrangement of objects in a definite order.
➲<u> P ( n, r )= n ! / ( n - r ) !</u>
- n = total number of objects
- r = number of objects selected
The number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are <u>40,320 ways</u> in which 8 books can be arranged on a shelf !
Answer:
its d gee
Step-by-step explanation:
good luck my firesn
Answer:
The unit rate in minutes per miles be 8.02 minutes per miles .
Step-by-step explanation:
Step 1. 26.2 miles/ 210 mins = x miles / 1min
1 * 26.2 / 210 = .12 miles / min
Step 2. 26.2. 0.13
÷210.
210. 1
(The amount miles ran in 1 minute is 0.13 miles.)
Step 3. 26.2/210= .125 miles per minute
210/26.2= 8.02 minutes per mile
Step 4. 1) Cross multiply. (26.2 = 210x)
2) Divide 210 from each side. (26.2/210 = .1247619048 , 210x/210 = x)
3) Round to the nearest 100th. (.12)
4) X=.12
5) .12 miles ran per minute
<span>2(3)× = 3×+1 is equal when f(x) = g(x).
f(x) is equal to g(x) when x = 0.
Therefore, the solution to the equation </span><span>2(3)×=3×+1 is x = 0.</span>
Answer:
D. zero
Step-by-step explanation:
Since the graphs do not intersect, there are zero solutions.
