There are 22 people who want to sign up for surfing or stand up paddle boarding There are 10 surf boards available and 12 stand-up paddle boards. (i) How many ways can we choose the 10 people to go surfing? (ii) How many ways can we choose the 12 to go paddle-boarding? (iii) Explain why the quantities you got in (i) and (ii) are equal.

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