જો a, b અને c એ અનુક્રમે ^{19} mathrm{C}_{mat | vedclass

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Question

$a=^{19} \mathrm{C}_{10}, \mathrm{b}=^{20} \mathrm{C}_{10}$ and $\mathrm{c}= ^{21} \mathrm{C}_{10}$

$\Rightarrow \mathrm{a}=^{19} \mathrm{C}_{9}, \

Vedclass · Accepted Answer

$\frac{a}{11}=\frac{b}{22}=\frac{c}{42}$

Vedclass · Answer

$a=^{19} \mathrm{C}_{10}, \mathrm{b}=^{20} \mathrm{C}_{10}$ and $\mathrm{c}= ^{21} \mathrm{C}_{10}$

$\Rightarrow \mathrm{a}=^{19} \mathrm{C}_{9}, \mathrm{b}=2\left(^{19} \mathrm{C}_{9}\right)$ and $\mathrm{c}=\frac{21}{11}\left(^{20} \mathrm{C}_{10}\right)$

$\Rightarrow \mathrm{b}=2 \mathrm{a}$ and $\mathrm{c}=\frac{21}{11} \mathrm{b}=\frac{42 \mathrm{a}}{11}$

$\Rightarrow a: b: c=a: 2 a: \frac{42 a}{11}=11: 22: 42$

જો $a, b$ અને $c$ એ અનુક્રમે $^{19} \mathrm{C}_{\mathrm{p}},^{20} \mathrm{C}_{\mathrm{q}}$ અને $^{21 }\mathrm{C}_{\mathrm{r}}$ ની મહતમ કિમંતો હોય તો . . .

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\end{array}} \right) = 252\,$ તો $\,(n\,,\,\,r)\,\, = \,\,..........$