State whether each situation involves a Permutation or a Combination.
a. Choosing a class president, vice president, and secretary.
b. Four tennis players from a group of nine.
c. Eight toppings for ice cream
Please explain how you know.
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a) Order matters since president is different from vice president, so a permutation is used.
b) Order doesn't matter since no one player is ranked higher than another. If you state that they play in a certain order, then order would matter. So a combination is used.
c) Order doesn't matter as the toppings will all mix in anyway. So a combination is used.
So basically, a Permutation is used when order is needed, and Combination is when order doesn't matter?