Proof Recursive Identity for Binomial Coefficients Combinatorics

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The binomial coefficient n choose k is equal to n-1 choose k + n-1 choose k-1, and we'll be proving this recursive formula for a binomial coefficient in today's combinatorics lesson! • This is the identity implicitly being used when we typically construct Pascal's triangle, and we can easily see why it's true by cleverly splitting the number of ways we can select k objects from n objects into two separate counts! Full details in the lesson! • ◆ Donate on PayPal: https://www.paypal.me/wrathofmath • ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   • I hope you find this video helpful, and be sure to ask any questions down in the comments! • +WRATH OF MATH+ • Follow Wrath of Math on... • ● Instagram:   / wrathofmathedu   • ● Facebook:   / wrathofmath   • ● Twitter:   / wrathofmathedu   • My Music Channel:    / seanemusic  

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