Combinatorics - Catalan numbers

43 Views Asked by At

A game of indoor soccer is ended in 8-6 score for TEAM A. It is known that TEAM B has not lead TEAM A at any point in the game. How many different orders of goals being scored for each team are there? (TEAM A scored = 0 , TEAM B scored = 1 - (00001111000011 - example) )