The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.

By the Fundamental Principle of Counting, there are

$3\displaystyle\binom{11}{4}=3*\displaystyle\frac{11!}{4!(11-4)!}=3*\displaystyle\frac{11!}{4!7!}=990$

ways for her to select the starting line-up.

7 0

2 years ago

Q16. Find x^2 + 1/x^2 , if x + 1/x = 3

erica [24]

Answer:

$2 \times x \times \frac{1}{x} = 2 \\ {x}^{2} + {y }^{2} + 2xy = {(x + y)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {(x + \frac{1}{x} })^{2} = {3}^{2} = 9$

8 0

1 year ago

Solve problem:<br> 8-6•4+10/2

Westkost [7]

Answer: -11

Step-by-step explanation: Hope this helps

3 0

2 years ago

Read 2 more answers

A washer and a dryer cost $585 combined. The washer costs $65 less than the dryer. What is the cost of the dryer?

Mekhanik [1.2K]

I believe the dryer costs $357.50
there's an easy way to solve this
you just divide the given price($585)
by 2 and then to one half add $65
and the answer is 65+292.5=357.5

6 0

2 years ago