Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
--- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:

Using:

We have:


Simplify





Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:

Using:

We have:


Solve each factorial


Solving (c) Ways of choosing at least 1 woman
We have:


Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman


The exponents distribute over factors:

so, you have

Let's focus on each factor: applying the definition of negative exponents, you have

While for the power of 10, you can use the following rule
to write

So, the expression evaluates to

Answer:
2
Step-by-step explanation:
8/4 = 2
= 
Therefore: 2
Hope this helps!
Answer:
A
Step-by-step explanation:
An equation in the form y=kx represents something increasing at a constant <u>rate</u>
The area of any rectangle is the product of its length and its width -

. We've been given the area and the length, and we can use those values to solve for the width:

So, the length of the missing side is
9 ft.