There are nine players on a baseball team. How many different batting lineups are possible
2 answers:
Answer: 362,800
Step-by-step explanation: To determine how many different batting orders are possible for a 9-player softball team, let's start by drawing 9 blanks to represent the 9 spots in the order.
We know that 9 different players can fill the first spot in the order. However, once the first spot is filled, there are only 8 players left to fill the second spot and once the second spot is filled, there are only 7 players left to fill the third spot and so on.
Therefore, based on the counting principal, we have 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways for all 9 spots to be filled which simplifies to 362,880.
Therefore, there are 362,880 different batting orders for a 9-player softball team.
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Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and
where and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = and -1 =
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3