Solution:
The total number of possiblities rolling a number cube with faces numbered 1 to 6 is;
And the total number of possibilities spining the spinner is;
The number of possibility where outcome on the cube is greater than 2 is;
And the number on the spinner less than 9 is;
Hence, the unique combination is;
CORRECT OPTION: A
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.
Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
A≈9.63
Step-by-step explanation:
Circumference: 11
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=112
4·π≈9.62887
