a. Determine the number of k-faces of the 5-dimensional hypercube C 5 for k = 0, 1,,,,,,,,, 4. Verify that your answer satisfies Euler's formula.
b. Make a chart of the values of fk (Cn) for n = 1,,,,,,,,, 5 and k = 0, 1,,,,,,,,, 4. Can you see a pattern? Guess a general formula for fk (Cn).