Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:
b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:
c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:
Answer:
275
Step-by-step explanation:
550 divided by 2 is 275.
Answer:
side = 2x - 8
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
The perimeter is 3 times one side
In this case P = 6x - 24
Side = p/3 = (6x - 24)/3
Side = 2x - 8
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Answer:
6 Hours
Step-by-step explanation:
17,100 - 6,300= 10,800
10,800/1,800 = 6
