Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
--- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:
Using:
We have:
Simplify
Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:
Using:
We have:
Solve each factorial
Solving (c) Ways of choosing at least 1 woman
We have:
Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman
Answer:
B
Step-by-step explanation:
Parallel lines have the same slope while perpendicular lines have slopes which are negative reciprocals.
Here the slope of line m is 5/3.
Here the slope of line n is -3/5.
These lines are perpendicular.
Line n crosses through point k and can be shown through substitution. Substitute (5,-4) into line n.
y = -3/5 x - 1
-4 = -3/5(5) - 1
-4 = -15/5 - 1
-4 = -3 - 1
-4 = -4
The solution is B where n passes through K and the lines are perpendicular.
Answer:
4/15 deeper than the 1st dive
Step-by-step explanation:
make the 1st and 2nd dive have the same denotator. so
1st dive:5/15
2nd dive:9/15
subtract the 1st dive with the 2nd.
9/15-5/15=4/15
Answer:
-1.83337261989
Step-by-step explanation:
(2 1/3)/y=-1.272727
2 1/3 = -1.272727y
y=-1.83337261989
I say y=300(2x) X=hours Y=population
Y=600x
