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:
h(4) = 0
Step-by-step explanation:
Hoping its ' kx '

Now we have k = -2. We will find h(4).

To find out how many quarts there are in 40 gallons, we simply need to know how many quarts there are in one gallon. As the name implies, there are 4 quarts in one gallon, so we simply need to multiply 4 * 40 to find the amount of quarts in 40 gallons.
4 * 40 = 160
There are 160 quarts in 40 gallons.
Hope that helped! =)
Answer:
A=1.75
Step-by-step explanation:

Answer:
2w + 4
Step-by-step explanation:
2/5(5w + 10)
2w + 4 ## ^ 2/5ths of 5 is 2, and 2/5ths of 10 is 4. (Distributive POE)