Question

In: Statistics and Probability

a) 10 children are to be divided into an A team and a B team of...

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!

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