<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:
25477.05
Step-by-step explanation:
Based on the given conditions, formulate: 29100 x (3% + 1) x (1 - 15%)
Calculate the sum or difference: 29100 x 1.03 x 0.85
Calculate the product or quotient: 25477.05
Answer:
25
Step-by-step explanation:
<span>For this IF function, look at cell A1. The logical test asks if the value in A1 is less than 100,000: in this case, the value of 90,000 would be less. If the value in A1 is under 100,000, the value is to be multiplied by 0.05 (5%), and multiplied by 0.075 if it is 100,000 or greater (7.5%). For a value of 90,000 * 0.05, the value that would be displayed in the cell with the IF function would be 4,500.</span>
A circle with center point N and three points A, B, C on its circumference. A line is drawn connecting the points A, N and C and the angle ANC is given as 138 degree.
B. 138°
