Answer: Team A will choose one of 36 possible lineups.
Step-by-step explanation: Given that Team A and Team B are playing the game of tug-of-war.
Team A has 3 males and 3 females that decides to line up male, female, male, female, male, female.
We are to find the number of possible lineups that Team A can make.
According to the given information,
number of options for the first position = 3,
number of options for the second position = 3,
number of options for the third position = 2,
number of options for the fourth position = 2,
number of options for the fifth position = 1
and
number of options for the sixth position = 1.
Therefore, the number of possible lineups by Team A is
Thus, Team A will choose one of 36 possible lineups.
