The first book you select can be any one of 700.
. . . For each of those ...
The second book can be any one of the other 699.
. . . For each of those ...
The third book can be any one of the remining 698.
The total number of ways to gather three books from the shelves into your hands is (700 · 699 · 698) = <em>341,531,400 ways</em> .
<em>BUT ...</em>
When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves. You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.
So, even though there are 341,531,400 ways to<em> </em>gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.
My calculator says it’s about 3.366
16 is the rotational symmetry
Answer:
15 cakes
Step-by-step explanation:
Cross multiply: 125(3)=25x
Simplify: 375=25x
Divide 25 on both sides: 15
Add units!
Hope it helps! Comment if you have any questions!
We need to find the derivative of that equation with respect to x. The derivative of x^3 is 3x^2, the derivative of 3x^2 is 6x, and the derivative of any constant is always 0. Use the power rule for derivatives that says
. Our derivative, then, is
.
