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.
My answer is 87m^2. Please check over my answer
Answer:
x=9
Step-by-step explanation:
Plug in 8 for f(x)
8=2x-10
Isolate the x term by moving the 10
18=2x
Isolate the variable
9=x
Answer:
x = -8
Step-by-step explanation:
Set the function f(x)=9-2x equal to 25, and then solve the resulting equation for x:
9 - 2x = 25.
Isolate the -2x term by subracting 9 from both sides:
-2x = 16
Finally, solve for x by dividing both sides by -2:
x = -16/2, or x = -8
Answer:
x=3
Step-by-step explanation: