1. The Library of Science Book Club offers three books from a list of 42. If you circle three choices from a list of 42

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1. The Library of Science Book Club offers three books from a
list of 42. If you circle three choices from a list of 42 numbers
on a postcard, how many possible choices are there?

2. At the beginning of the second quarter of a mathematics class
for elementary school teachers, each of the class’s 25 students
shook hands with each of the other students exactly once. How many
handshakes took place?

3. There are five members of the math club. In how many ways can
the two person Social Committee be chosen?