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Let's assume these are the 25 coins that were collected:
1966 penny, 1967 nickel, 1966 quarter, 1967 penny, 1965 penny, 1966 half dollar, 1967 quarter, 1965 dime,
1967 dime, 1968 quarter, 1964 dime, 1966 nickel, 1965 nickel, 1967 half dollar, 1966 dime, 1964 nickel, 1969
quarter, 1969 half dollar, 1965 half dollar, 1968 penny, 1968 dime, 1964 quarter, 1965 quarter, 1969 dime, 1968
nickel
To simplify writing each coin out, let's abbreviate 1966 penny by 6P, and 1967 nickel by 7N, etc. Also, let C be
the set that contains all 25 coins. So in our collection, C, we have the following:
6P, 7N, 60, 7P, 5P, 6H, 70, 5D, 7D, 8Q, 4D, 6N, SN, 7H, 6D, 4N, 90, 9H, 5H, 8P, 8D, 40, 50, 9D
and 8N
A physical model for these coins is found on Material Card 1. If you haven't already done so, cut out a set of
coins from this Material Card and use them to do several of the following exercises.
Let S be the subset of coins from 1964, V from 1965, W from 1966, X from 1967, Y from 1968, Z from 1969 and
T from 1970. Are P, N, D, G, H, S, V, W, X, Y, Z and T all subsets of C? yes Using the correct
notation, write out these 12 sets using the listing method by listing the elements in each set. The only
elements in C are those listed above this exercise. Note that 6P is one element in P because 6P is a particular
penny in C but 6 is not an element and P is not an element. The difference between how you write the
answers here and how you did it in the previous exercise is that you are using proper notation with the braces,
and commas in between the elements. List the elements in numerical and alphabetical order.
N=
Q=
S=