a. Determine the number of k-faces of the 5 dimensional hypercube C5 for k=0,1...,4. Verify that your answer satisifies Eulers 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? Quess a general fomula for fk(Cn) Solution see this link it answers your question in detail http://www.math.toronto.edu/mccann/assignments/199S/cubeface.pdf.

1. a. Determine the number of k-faces of the 5 dimensional hypercube C5 for k=0,1...,4. Verify that
your answer satisifies Eulers 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? Quess
a general fomula for fk(Cn)
Solution
see this link it answers your question in detail
http://www.math.toronto.edu/mccann/assignments/199S/cubeface.pdf