Question

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to line up male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?

Answer 1

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

$n=3\times3\times2\times2\times1\times1=36.$

Thus, Team A will choose one of 36 possible lineups.