Answer:
1509
Step-by-step explanation:
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Answer:
Milford location has a higher ratio of hamsters to gerbils.
Step-by-step explanation:
Given:
A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.
At its Milford location, there are 13 hamsters and 16 gerbils.
Now, to find the location who has a higher ratio of hamsters to gerbils.
Ratio of hamsters to gerbils at Lanberry location = 5:10.

Ratio of hamsters to gerbils at Milford location= 13:16.

<em>So, 0.8125 > 0.50.</em>
<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>
Therefore, Milford location has a higher ratio of hamsters to gerbils.
Answer:
C.) 4
Step-by-step explanation:
y2 - y1/x2 - x1
m = 160 - 80/60 - 40
m = 80/20
m = 8/2
m = 4/1
m = 4
Answer: 20 miles
Step-by-step explanation:
From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.
Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:
20 + 2x = (3 × x)
20 + 2x = 3x
3x - 2x = 20
x = 20
The charge will be thesame at 20 miles