Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.
Answer:
35% discount.
Step-by-step explanation:
28.60 / 44 = 13/20
13/20 = 65/100 = 65%
28.60 is 65% of 44
100 - 65 = 35
Therefore, the discount is 35%.
Height of entire house = height of first floor + height of second floor + height of attic
Rearrange to make "Height of attic" the subject
To do this, place "height of first floor" and "height of second floor on the other side of the equation"
So:
Height of attic = Height of entire house - height of first floor - height of second floor
Height of attic = 241/3 - 85/6 - 81/2
Next problem, they are all in fractions.
So make a common/same denominator (bottom number)
Let's make the common denominator 6.
241/3 x 2/2 = 482/6
*It still has the same value
85/6 already has a denominator of 6 so no need to do anything to it.
81/2 x 3/3 = 243/6
Height of attic = 482/6 -85/6 -243/6
Simplify it to one fraction since they all have the same denominator now:
Height of attic = (482 - 85 - 243) / 6
Height of attic = 154/6
4 is the answer that you need for the equation