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

$$If8C4=8Cn.findthevalueofn$$$$$$

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

$$n=4$$

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

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

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