Q. The value of $^{15} C_{8} +^{15} C_{9} -^{15} C_{6} -^{15} C_{7} =$

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A

$0$

B

$1$

C

$^{16} C_{10}$

D

$^{15} C_{9}$

Solution:

$^{16} c_{9} - (^{16} c_{7}) = 0$
$(^{n} c_{r} +^{n} c_{r - 1} =^{n + 1} c_{r})$