In: Statistics and Probability
a) 10 children are to be divided into an A team and a B team of 5 each. The A team will play in one league and the B team in another. How many different divisions are possible? Answer: (10!/5!5!)
b) 10 children at a playground divide themselves into two teams of 5 each. How many different divisions are possible? Answer: (10!/5!5!2!)
I don't understand why in b we divide by 2!, can someone explain it in detail? It would be better to visualize. Thank you!