Question

In the Beast Ball league, if a player loses a match, they gain 1 point for participating. If a player instead wins, they gain 3 points if they also won their previous game, otherwise they gain 2 points for this victory. Grogg entered the league with 0 points. Find the number of different sequences of wins and loses that will give Grogg 10 points. (If a player wins their first match, they get 2 points. They did not win their previous match since they didn't have one.)

Answer 1

Answer:3 wins and 2 losses

Step-by-step explanation:

Step 1:If they win the first game they get 2 points.

Step 2:If they win the second game they get 3+2=5 points.

Step 3:If they win the third game they would have 5+3=8 points.

Step 4:They couldn't have won they third game because that would make them at 11 points and they only got 10 in total so they must have lost and give them 8+1=9 points.

Step 5:They couldn't have won this game because that would have made them get 11 points and they only got 10 so they must have lost putting them at 9+1=10 points witch is there total points so they played no more games.

Step 6:Answer 3 wins and 2 losses.