(Solution) - The 32 members of the Greeley High chess team are -(2025 Original AI-Free Solution)

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The 32 members of the Greeley High chess team are going to have a tournament. They need to decide whether to have a round-robin tournament or an elimination tournament. (Read the Recreation Connection.)
a. If the tournament is round-robin, how many games need to be scheduled?
b. If it is an elimination tournament, how many games need to be scheduled?