Plz help with this
Fill in the blanks to make the equation true (Each blank should contain a positive integer.)
\binom{n}{k} = \binom{n - 2}{k} + \binom{n - 2}{k - 1} + \binom{n - 1}{k} + \binom{n - 1}{k - 1} + \binom{n}{k - 1} + \binom{n}{k + 1}
+163 \(\binom{n}{k} = \binom{n - 2}{k} + \binom{n - 2}{k - 1} + \binom{n - 1}{k} + \binom{n - 1}{k - 1} + \binom{n}{k - 1} + \binom{n}{k + 1}\)
Try using pascal's Identity which states that \(\binom{n}{k} = \binom{n - 1}{k} + \binom{n - 1}{k - 1}\)
https://artofproblemsolving.com/wiki/index.php/Pascal%27s_Identity
hopefully this helps :)
