for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
for every x greater than zero, use the second line to determine the value
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex
Answer:
The number of ways the batting line up can be made is 3,851,971,200 ways.
Step-by-step explanation:
The coach of the baseball team needs to choose 9 players for the batting lineup.
He can choose from a total of 4 freshmen, 4 sophomores, 5 juniors and 4 seniors for the team.
He has to choose the team so that there at most 2 juniors on the lineup.
The total number of available player who are not juniors is 4 + 4 + 4 = 12
i) If the coach selects no juniors then there are 9 positions to fill up and
since the batting order is not specific so these 9 players can be selected
from 12 players = = 220 ways
ii) If the coach selects one junior then there are other 8 other positions to
fill up from 12 players and one junior is to be selected from 5 juniors
=
iii) If the coach selects two juniors then there are other 7 other positions to
fill up from 12 players and two juniors are to be selected from 5 juniors
=
So the ways of selecting the players is = 220 + 2475 + 7920 = 10615 ways
Since there is no specific order to the batting line up the number of ways the batting line up can be made = 9! × 10615 = 3,851,971,200 ways.
