Question:
The value of 15C8 = 15C9 – 15C6 – 15C7 is ___________.
Solution:
15C8 + 15C9 − 15C6 − 15C7
Since nCr = nCn − r
⇒ 15C6 = 15C15−6 = 15C9 ...(1)
and 15C7 = 15C15−7 = 15C8 ...(2)
∴ 15C8 + 15C9 − 15C9 − 15C8 = 0 (∵ from (1) and (2))
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