The best types of written communication for each of Zach's assignments would be:
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A memo for the employees: Memos are appropriate for internal communication, especially for conveying important updates or announcements to a group of employees. This will effectively inform them about the upcoming Olympics-style event.
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A letter for the former Olympian: A letter is more formal and personal, making it suitable for reaching out to a former Olympian. It allows for a more detailed and respectful approach when inviting someone of their stature to participate as a guest speaker.
So the correct choice is: A memo for the employees and a letter for the former Olympian.