If $^{n} C_{8} =^{n} C_{2}$ , then find $n$ .

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Solution

If $^{n} C_{8} =^{n} C_{2}$ find the value of n
solution $\to$ we know that $^{n} C_{a} =^{n} C_{b}$
$\Rightarrow n = a + b$
$∴^{n} C_{8} =^{n} C_{2}$
$\Rightarrow n = 8 + 2$
$\Rightarrow n = 10$

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Similar questions

If $^{n} C_{8} =^{n} C_{2},$ find $^{n} C_{2} .$

^{n} C_{8} =^{n} C_{2}

^{n} C_{2}

^{n} C_{8} =^{n} C_{2}

^{n} C_{2}

a =^{n} C_{0} +^{n} C_{3} +^{n} C_{6} + . . .

b =^{n} C_{1} +^{n} C_{2} +^{n} C_{4} +^{n} C_{5} +^{n} C_{7} +^{n} C_{8} + . . .

c =^{n} C_{1} -^{n} C_{2} +^{n} C_{4} -^{n} C_{5} +^{n} C_{7} -^{n} C_{8} + . . .

{(a - \frac{b}{2})}^{2} + \frac{3 c^{2}}{4}

a =^{n} C_{0} +^{n} C_{3} +^{n} C_{6} + . . .

b =^{n} C_{1} +^{n} C_{2} +^{n} C_{4} +^{n} C_{5} +^{n} C_{7} +^{n} C_{8} + . . .

c =^{n} C_{1} -^{n} C_{2} +^{n} C_{4} -^{n} C_{5} +^{n} C_{7} -^{n} C_{8} + . . .

{(a - \frac{b}{2})}^{2} + \frac{3 c^{2}}{4}

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