Sintheta,costheta,tantheta are only positive in quadrant 1
sintheta is only positive in quad2
tantheta is only positive in quad3
costheta is only positive in quad4
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:
k = 11b - 8 (easiest to understand)
extra:
k = -8 + 11b
or
11b = -8 - k
etc. ( anything mixing up the components of the equation ).
