Answer:
a)125970
b)95040
c)35640
Step-by-step explanation:
a) selecting 12 player from 20 players can be one in 
= 
= 
= 
b) since each position has an identity permutations can be used so
Number of ways = 
= 
= 
= 
c) coach permutes 4 players for position other than centers in 
ways and selects center in 3 ways
so, number of ways = 
=
=
Answer:
All of them except B
Step-by-step explanation:
Bisecting is splitting a line in half
Parallel lines never touch each other
Intersecting lines intersect
Corresponding lines are 2 parallel lines with a line that is going through them
You want to find the volume inside the hemisphere 
(i.e. inside the sphere but above the plane 
) and outside the cylinder 
. Call this region 
.
In cylindrical coordinates, we have
(where 
)
Answer:
Step-by-step explanation:
5. x/7 = 9/x
x^2 = 63
x= 3
6. x/84 = 16/x
x^2 = 1344
x=8
7. x/12 = 12/16
16x=144
x=9
8. x/48 = 48/64
64x=2304
x=36
Since it starts with 2 envelopes, subtract 2 from 17 to get how many and in all 3 packs.
17 - 2 = 15
Now, we divide that number by 3 to get how many are in each envelope.
15 / 3 = 5
There are 5 envelopes in each pack.
