If-8C4-8Cn-find-the-value-of-n-

Question Number 5283 by sanusihammed last updated on 04/May/16

$${If}\:\:\:\:\:\:\:\:\:\mathrm{8}{C}\mathrm{4}\:=\:\mathrm{8}{Cn}\:\:.\:\:{find}\:{the}\:{value}\:{of}\:{n} \\ $$$$ \\ $$

Commented by Rasheed Soomro last updated on 05/May/16

$${n}=\mathrm{4} \\ $$

Answered by Rasheed Soomro last updated on 05/May/16

$$\mathrm{Generally}\:\mathrm{if}\:\:\:^{\mathrm{n}} \mathrm{C}_{\mathrm{x}} =^{\mathrm{n}} \mathrm{C}_{\mathrm{k}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{then}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{k},\:\mathrm{n}−\mathrm{k} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Here}\:\mathrm{k}=\mathrm{4},\mathrm{n}=\mathrm{8} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{4}\:,\:\mathrm{8}−\mathrm{4}=\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{4} \\ $$

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