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Question Number 13501 by tawa tawa last updated on 20/May/17

Find x  10_C_x   = 5_C_2

$$\mathrm{Find}\:\mathrm{x} \\ $$$$\mathrm{10}_{\mathrm{C}_{\mathrm{x}} } \:=\:\mathrm{5}_{\mathrm{C}_{\mathrm{2}} } \\ $$

Answered by mrW1 last updated on 20/May/17

((10!)/(x!(10−x)!))=((5×4)/(2×1))=10  x!(10−x)!=((10!)/(10))=9!  ⇒x=9  or 1

$$\frac{\mathrm{10}!}{{x}!\left(\mathrm{10}−{x}\right)!}=\frac{\mathrm{5}×\mathrm{4}}{\mathrm{2}×\mathrm{1}}=\mathrm{10} \\ $$$${x}!\left(\mathrm{10}−{x}\right)!=\frac{\mathrm{10}!}{\mathrm{10}}=\mathrm{9}! \\ $$$$\Rightarrow{x}=\mathrm{9}\:\:{or}\:\mathrm{1} \\ $$

Commented by 433 last updated on 20/May/17

& x=1

$$\&\:{x}=\mathrm{1} \\ $$

Commented by tawa tawa last updated on 20/May/17

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\: \\ $$

Commented by jabbar kutaib last updated on 20/May/17

Thank you mr.

$$\mathcal{T}{hank}\:{you}\:{mr}. \\ $$

Commented by chux last updated on 20/May/17

&0

$$\&\mathrm{0} \\ $$

Commented by chux last updated on 20/May/17

but can you further break this   down to its answers.

$$\mathrm{but}\:\mathrm{can}\:\mathrm{you}\:\mathrm{further}\:\mathrm{break}\:\mathrm{this}\: \\ $$$$\mathrm{down}\:\mathrm{to}\:\mathrm{its}\:\mathrm{answers}. \\ $$

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