猫和老鼠玩象棋，玩了M+N局，猫赢了M局 老鼠赢了N局 N>M，而且在整个过程中，猫的得分从来没有超过过老鼠，问共有多少种可能的比赛得分过程...

1. 猫和老鼠玩象棋，玩了M+N局，猫赢了M局 老鼠赢了N局 N>M，而且在整个过程中，猫的得分从来没有超过过老鼠，问共有多少种可能的比赛得分过程

2. 每日早上淘宝网办公楼对面的烧饼店都有人排长队买烧饼，假设每个烧饼5元，有16个人排队，其中有8个人只有5元的钞票，另外8个人只有10￥的钞票，每个人只买一个烧饼。假设开始时店老板没有任何钞票，问这16个人有多少种排队方式，不至于使店老板找不开钱？？？

same question, VB.NET codes:

Module Module1

Sub Main()

' 1. Result = Count(N, M) N: mouse win, M: cat win

' 2. Result = Count(8, 8)

Dim number = Count(8, 8)

Console.WriteLine(number)

Console.ReadKey()

End Sub

Public Function Count(ByVal winnerWin As Integer, ByVal winnerFailed As Integer, Optional ByVal currentWin As Integer = 0, Optional ByVal currentFail As Integer = 0) As Integer

If winnerWin < winnerFailed Then

Return 0

End If

If currentWin < currentFail Then

Return 0

End If

If currentWin = winnerWin And currentFail = winnerFailed Then

Return 1

End If

Dim result As Integer = 0

If currentFail < winnerFailed Then

result += Count(winnerWin, winnerFailed, currentWin, currentFail + 1)

End If

If currentWin < winnerWin Then

result += Count(winnerWin, winnerFailed, currentWin + 1, currentFail)

End If

Return result

End Function

End Module