If 21C2r+1=21Cr-4,then find r
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Answer:
Given 20Cr = 20C r−10
We Know
nC r = nC n−r
⇒r+(n−r)=n
⇒r+r−10=20
⇒2r=30
⇒r=15
⇒18Cr = 18 C 15
⇒18! / 15!×3!
⇒3×2×1/18×17×16
⇒48×17
⇒816
Hence the correct answer is 816
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