Question

In a competition between players x and y, the first player to win three games in a row or a total of four games wins. how many ways can the competition be played if x wins the first game and y wins the second and third games?

Answer 1

7 ways (y wins 4 of them)

Explanation:

Possibilities are ...

{x, y, y, y} — y wins

{x, y, y, x, x, x} — x wins

{x, y, y, x, y, y} — y wins

{x, y, y, x, x, y, x} — x wins

{x, y, y, x, x, y, y} — y wins

{x, y, y, x, y, x, x} — x wins

{x, y, y, x, y, x, y} — y wins