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Hi all, I'm a bit stuck on part ii) of this question. Part i) was easy enough, and I also know how to prove part ii) using Pascal's identity. But I can't see the link between part i) and part ii), which seems to be implied by the word "hence" in the question. Any ideas?

Does anybody have any ideas for part ii)? I can show it for n=3, but can't work out how to show it in general. I tried induction but it didn't seem to work for me.

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Does anybody have any ideas on how to approach part v) of this question? I've managed to do parts i), ii), iii) and iv), but v) is eluding me!

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