Jason
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 Mar25 awarded Notable Question Feb4 awarded Popular Question Jul2 awarded Curious May7 awarded Notable Question Apr23 accepted How do I begin proving this binomial coefficient identity: ${n\choose 0} - {n\choose 1} + {n\choose 2} - {n\choose 3} + \dots = 0$ Apr22 comment How do I begin proving this binomial coefficient identity: ${n\choose 0} - {n\choose 1} + {n\choose 2} - {n\choose 3} + \dots = 0$ That was the answer at the back of the book. But I don't get what just that statement means. Is that a proof to just "say" that? Apr22 asked How do I begin proving this binomial coefficient identity: ${n\choose 0} - {n\choose 1} + {n\choose 2} - {n\choose 3} + \dots = 0$ Mar14 awarded Notable Question Feb25 awarded Popular Question Dec1 awarded Popular Question Sep27 awarded Yearling Jul29 awarded Popular Question Jun13 accepted Probability of adjacent seating Jun13 asked Probability of adjacent seating May15 accepted Basic independent probability question May15 comment Basic independent probability question Okay, according to the definition there (and Google), so it is times, which means it's $^$. Thanks. May15 comment Basic independent probability question Hmm...the probability the purse won't hold them all is the probability that all three coins come up heads (as you mentioned). But what is that, in math? Okay well it can't be $1/2 + 1/2 + 1/2$ because that probability would be $> 1$. So is it really $1/2 * 1/2 * 1/2$? Isn't there something about adding independent events and multiplying dependent events? Or are these events dependent? Or have I got it hopelessly wrong? May15 revised Basic independent probability question added 167 characters in body May15 asked Basic independent probability question Apr26 comment Does one always use augmented matrices to solve systems of linear equations? Wow, great additions, thanks.