<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 !
X₁ + X₂ / 2 & Y₁ + Y₂ / 2 ------------- This is the formula to plug in the coordinates.
3.5 + 1.5 / 2= 2.5 2.2 + (-4.8) / 2= -1.3
Answer = (2.5,-1.3)
Answer:
x=-3
Step-by-step explanation:
follow the PEMDAS method then see if the 2 equation equal each other after plugging in the x.
Answer:
8600 is 100 less
3440?
Step-by-step explanation:
Answer:
Yes!
Step-by-step explanation:
Here is a trick. If you add up all of the numbers in the number, and if that is divisible by three, the number is divisible by three. So...
5+3+6+1=15
15 is divisible by 3,
so 5361 is divisible by 3
(if you wanted to know, it is 1787)
