The following problem is taken from Introductory Combinatorics, third edition, by Kenneth P. Bogart.
Some rows of Pascal's triangle consist of even numbers with the exception of the two entries at the ends. Show that row 8 has this property. Do any rows beyond row 8 (that is, with n>8) have this property? Explain why not or give an example.
I like this problem, and I think you should give it a try!
:)
Some rows of Pascal's triangle consist of even numbers with the exception of the two entries at the ends. Show that row 8 has this property. Do any rows beyond row 8 (that is, with n>8) have this property? Explain why not or give an example.
I like this problem, and I think you should give it a try!
:)
Powers of 2.
ReplyDelete