Question

12. A football team of 11 players is to be selected from a set of 15 players, 5 of whom can play only in the backfield,8 of whom can only play on the line, and two of whom can play either in the backfield or the line. Assuming the team has 7 menon the line and 4 on the backfield, determine the number of football teams possible. We have to decide if the two versatile players are going to play.

 

(a) Neither of the two plays.

 

(b) One of the two plays.

  

   (i) If the versatile player played in the line.

   (ii) If the versatile player plays in the backfield.

 

(c)  Both play (one line, one backfield)

 

(d)  Both play line

 

(e) Both play backfield