Discrete e.1 Send SOLUTION as attachment.

Let S = {1,2,3,4,5,6,7,8}. Determine: (a) The number of subsets of S (b) The number of subsets of S with at most four elements ... (see attachment for rest)

Discrete

Let Pn be the product of the first n odd numbers... (see attachment)

Discrete e.3 Send SOLUTION as attachment

3. At the Clone Zone School a class of 10 identical boys and 8 identical girls go to a cafeteria... (see attachment)

Provide a combinatorial proof

4. Provide a combinatorial proof: For postive integers N.... (see attachment) Please send response as a .doc attachment.

Find an explicit formula

5. Let TN be the number of ways a 2 X N rectangle can be tiled with 2 X 2 squares... (see attachment)