$^{15} C_{8} +^{15} C_{9} -^{15} C_{6} -^{15} C_{7}$ =

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Solution

Given experssion :
$^{15} C_{8} +^{15} C_{9} -^{15} C_{6} -^{15} C_{7}$

= $^{15} C_{8} +^{15} C_{9} -^{15} C_{15 - 6} -^{15} C_{15 - 7}$

$[∵^{n} C_{r} =^{n} C_{n - r}]$

$^{15} C_{8} +^{15} C_{9} -^{15} C_{9} -^{15} C_{8}$

$= 0$

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Evaluate: $^{15} C_{8} +^{15} C_{9} -^{15} C_{6} -^{15} C_{7}$

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