Find $n$ if $^{2 n} C_{3} :^{n} C_{3} = 11 : 1$

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Solution

$\frac{^{2 n} C_{3}}{^{n} C_{3}} = \frac{11}{11}^{2 n} C_{3} =^{n} C_{3}^{2 n} C_{2 n - 3} =^{n} C_{3} 2 n - 3 = 3 2 n = 6 n = 3$

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Similar questions

If $^{2 n} C_{3} :^{n} C_{3} = 11 : 1,$ find n.

Determine n if

(i) (ii)

^{2 n} C_{3} :^{n} C_{3} = 12 : 1

^{2 n} C_{3} :^{n} C_{3} = 11 : 1

Determine n if

(i) (ii)

^{2 n} C_{3} :

^{n} C_{3} = 11 : 1

n =

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