Question: 1. If A is a set containing n elements, how many different subsets of A can be formed? Find a formula which counts the number

1. If A is a set containing n elements, how many different subsets of A can be formed? Find a formula which counts the number of subsets of A in terms of n. Keep in mind that the empty set is counted as a subset of A. Prove that your formula is correct.

2. Show that an ordered field F is Archimedean if and only if for all x, y F with x > 0 there is an n N so that nx > y.

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