The value of

Question:

The value of 15C8 = 15C9 – 15C6 – 15C7 is ___________.

Solution:

15C8 + 15C9 − 15C− 15C7 

Since nCr = nCn − r 

⇒ 15C6 = 15C15−6 = 15C9     ...(1)

and 15C7 = 15C15−7 = 15C  ...(2) 

 15C8 + 15C9 − 15C9 − 15C8 = 0     (∵ from (1) and (2))

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